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Simplifying -1(4x + -3) + -1(3x + -5) + 5 = -7(x + -1) + -1(4x + 5) + 3 Reorder the terms: -1(-3 + 4x) + -1(3x + -5) + 5 = -7(x + -1) + -1(4x + 5) + 3 (-3 * -1 + 4x * -1) + -1(3x + -5) + 5 = -7(x + -1) + -1(4x + 5) + 3 (3 + -4x) + -1(3x + -5) + 5 = -7(x + -1) + -1(4x + 5) + 3 Reorder the terms: 3 + -4x + -1(-5 + 3x) + 5 = -7(x + -1) + -1(4x + 5) + 3 3 + -4x + (-5 * -1 + 3x * -1) + 5 = -7(x + -1) + -1(4x + 5) + 3 3 + -4x + (5 + -3x) + 5 = -7(x + -1) + -1(4x + 5) + 3 Reorder the terms: 3 + 5 + 5 + -4x + -3x = -7(x + -1) + -1(4x + 5) + 3 Combine like terms: 3 + 5 = 8 8 + 5 + -4x + -3x = -7(x + -1) + -1(4x + 5) + 3 Combine like terms: 8 + 5 = 13 13 + -4x + -3x = -7(x + -1) + -1(4x + 5) + 3 Combine like terms: -4x + -3x = -7x 13 + -7x = -7(x + -1) + -1(4x + 5) + 3 Reorder the terms: 13 + -7x = -7(-1 + x) + -1(4x + 5) + 3 13 + -7x = (-1 * -7 + x * -7) + -1(4x + 5) + 3 13 + -7x = (7 + -7x) + -1(4x + 5) + 3 Reorder the terms: 13 + -7x = 7 + -7x + -1(5 + 4x) + 3 13 + -7x = 7 + -7x + (5 * -1 + 4x * -1) + 3 13 + -7x = 7 + -7x + (-5 + -4x) + 3 Reorder the terms: 13 + -7x = 7 + -5 + 3 + -7x + -4x Combine like terms: 7 + -5 = 2 13 + -7x = 2 + 3 + -7x + -4x Combine like terms: 2 + 3 = 5 13 + -7x = 5 + -7x + -4x Combine like terms: -7x + -4x = -11x 13 + -7x = 5 + -11x Solving 13 + -7x = 5 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 13 + -7x + 11x = 5 + -11x + 11x Combine like terms: -7x + 11x = 4x 13 + 4x = 5 + -11x + 11x Combine like terms: -11x + 11x = 0 13 + 4x = 5 + 0 13 + 4x = 5 Add '-13' to each side of the equation. 13 + -13 + 4x = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 5 + -13 4x = 5 + -13 Combine like terms: 5 + -13 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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