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Simplifying -3x + 5 + -2(x + -1) = 2x + -1(6x + -9) + -4x + 4 Reorder the terms: -3x + 5 + -2(-1 + x) = 2x + -1(6x + -9) + -4x + 4 -3x + 5 + (-1 * -2 + x * -2) = 2x + -1(6x + -9) + -4x + 4 -3x + 5 + (2 + -2x) = 2x + -1(6x + -9) + -4x + 4 Reorder the terms: 5 + 2 + -3x + -2x = 2x + -1(6x + -9) + -4x + 4 Combine like terms: 5 + 2 = 7 7 + -3x + -2x = 2x + -1(6x + -9) + -4x + 4 Combine like terms: -3x + -2x = -5x 7 + -5x = 2x + -1(6x + -9) + -4x + 4 Reorder the terms: 7 + -5x = 2x + -1(-9 + 6x) + -4x + 4 7 + -5x = 2x + (-9 * -1 + 6x * -1) + -4x + 4 7 + -5x = 2x + (9 + -6x) + -4x + 4 Reorder the terms: 7 + -5x = 9 + 4 + 2x + -6x + -4x Combine like terms: 9 + 4 = 13 7 + -5x = 13 + 2x + -6x + -4x Combine like terms: 2x + -6x = -4x 7 + -5x = 13 + -4x + -4x Combine like terms: -4x + -4x = -8x 7 + -5x = 13 + -8x Solving 7 + -5x = 13 + -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. 7 + -5x + 8x = 13 + -8x + 8x Combine like terms: -5x + 8x = 3x 7 + 3x = 13 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 3x = 13 + 0 7 + 3x = 13 Add '-7' to each side of the equation. 7 + -7 + 3x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 13 + -7 3x = 13 + -7 Combine like terms: 13 + -7 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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