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Simplifying -5(-11x + -4) + 3(x + -5 + 6) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 Reorder the terms: -5(-4 + -11x) + 3(x + -5 + 6) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 (-4 * -5 + -11x * -5) + 3(x + -5 + 6) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 (20 + 55x) + 3(x + -5 + 6) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 Reorder the terms: 20 + 55x + 3(-5 + 6 + x) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 Combine like terms: -5 + 6 = 1 20 + 55x + 3(1 + x) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 20 + 55x + (1 * 3 + x * 3) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 20 + 55x + (3 + 3x) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 Reorder the terms: 20 + 55x + 3 + 3x + -1(-5 + 10x) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 20 + 55x + 3 + 3x + (-5 * -1 + 10x * -1) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 20 + 55x + 3 + 3x + (5 + -10x) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 Reorder the terms: 20 + 3 + 5 + 55x + 3x + -10x = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 Combine like terms: 20 + 3 = 23 23 + 5 + 55x + 3x + -10x = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 Combine like terms: 23 + 5 = 28 28 + 55x + 3x + -10x = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 Combine like terms: 55x + 3x = 58x 28 + 58x + -10x = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 Combine like terms: 58x + -10x = 48x 28 + 48x = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13 Reorder the terms: 28 + 48x = 7(-5 + 6 + 4x) + 2x + -10 + (25 + -10) + 4 + -13 Combine like terms: -5 + 6 = 1 28 + 48x = 7(1 + 4x) + 2x + -10 + (25 + -10) + 4 + -13 28 + 48x = (1 * 7 + 4x * 7) + 2x + -10 + (25 + -10) + 4 + -13 28 + 48x = (7 + 28x) + 2x + -10 + (25 + -10) + 4 + -13 Combine like terms: 25 + -10 = 15 28 + 48x = 7 + 28x + 2x + -10 + (15) + 4 + -13 28 + 48x = 7 + 28x + 2x + -10 + 15 + 4 + -13 Reorder the terms: 28 + 48x = 7 + -10 + 15 + 4 + -13 + 28x + 2x Combine like terms: 7 + -10 = -3 28 + 48x = -3 + 15 + 4 + -13 + 28x + 2x Combine like terms: -3 + 15 = 12 28 + 48x = 12 + 4 + -13 + 28x + 2x Combine like terms: 12 + 4 = 16 28 + 48x = 16 + -13 + 28x + 2x Combine like terms: 16 + -13 = 3 28 + 48x = 3 + 28x + 2x Combine like terms: 28x + 2x = 30x 28 + 48x = 3 + 30x Solving 28 + 48x = 3 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 28 + 48x + -30x = 3 + 30x + -30x Combine like terms: 48x + -30x = 18x 28 + 18x = 3 + 30x + -30x Combine like terms: 30x + -30x = 0 28 + 18x = 3 + 0 28 + 18x = 3 Add '-28' to each side of the equation. 28 + -28 + 18x = 3 + -28 Combine like terms: 28 + -28 = 0 0 + 18x = 3 + -28 18x = 3 + -28 Combine like terms: 3 + -28 = -25 18x = -25 Divide each side by '18'. x = -1.388888889 Simplifying x = -1.388888889
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