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Simplifying -1(2x + -5) + -1(2x + -6) + 3 = -4(x + -1) + -1(4x + 5) + 3 Reorder the terms: -1(-5 + 2x) + -1(2x + -6) + 3 = -4(x + -1) + -1(4x + 5) + 3 (-5 * -1 + 2x * -1) + -1(2x + -6) + 3 = -4(x + -1) + -1(4x + 5) + 3 (5 + -2x) + -1(2x + -6) + 3 = -4(x + -1) + -1(4x + 5) + 3 Reorder the terms: 5 + -2x + -1(-6 + 2x) + 3 = -4(x + -1) + -1(4x + 5) + 3 5 + -2x + (-6 * -1 + 2x * -1) + 3 = -4(x + -1) + -1(4x + 5) + 3 5 + -2x + (6 + -2x) + 3 = -4(x + -1) + -1(4x + 5) + 3 Reorder the terms: 5 + 6 + 3 + -2x + -2x = -4(x + -1) + -1(4x + 5) + 3 Combine like terms: 5 + 6 = 11 11 + 3 + -2x + -2x = -4(x + -1) + -1(4x + 5) + 3 Combine like terms: 11 + 3 = 14 14 + -2x + -2x = -4(x + -1) + -1(4x + 5) + 3 Combine like terms: -2x + -2x = -4x 14 + -4x = -4(x + -1) + -1(4x + 5) + 3 Reorder the terms: 14 + -4x = -4(-1 + x) + -1(4x + 5) + 3 14 + -4x = (-1 * -4 + x * -4) + -1(4x + 5) + 3 14 + -4x = (4 + -4x) + -1(4x + 5) + 3 Reorder the terms: 14 + -4x = 4 + -4x + -1(5 + 4x) + 3 14 + -4x = 4 + -4x + (5 * -1 + 4x * -1) + 3 14 + -4x = 4 + -4x + (-5 + -4x) + 3 Reorder the terms: 14 + -4x = 4 + -5 + 3 + -4x + -4x Combine like terms: 4 + -5 = -1 14 + -4x = -1 + 3 + -4x + -4x Combine like terms: -1 + 3 = 2 14 + -4x = 2 + -4x + -4x Combine like terms: -4x + -4x = -8x 14 + -4x = 2 + -8x Solving 14 + -4x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 14 + -4x + 8x = 2 + -8x + 8x Combine like terms: -4x + 8x = 4x 14 + 4x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 4x = 2 + 0 14 + 4x = 2 Add '-14' to each side of the equation. 14 + -14 + 4x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 2 + -14 4x = 2 + -14 Combine like terms: 2 + -14 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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