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Simplifying -5x + 8 + -6(x + -1) = -1(4x + -3) + -6x + 6 Reorder the terms: -5x + 8 + -6(-1 + x) = -1(4x + -3) + -6x + 6 -5x + 8 + (-1 * -6 + x * -6) = -1(4x + -3) + -6x + 6 -5x + 8 + (6 + -6x) = -1(4x + -3) + -6x + 6 Reorder the terms: 8 + 6 + -5x + -6x = -1(4x + -3) + -6x + 6 Combine like terms: 8 + 6 = 14 14 + -5x + -6x = -1(4x + -3) + -6x + 6 Combine like terms: -5x + -6x = -11x 14 + -11x = -1(4x + -3) + -6x + 6 Reorder the terms: 14 + -11x = -1(-3 + 4x) + -6x + 6 14 + -11x = (-3 * -1 + 4x * -1) + -6x + 6 14 + -11x = (3 + -4x) + -6x + 6 Reorder the terms: 14 + -11x = 3 + 6 + -4x + -6x Combine like terms: 3 + 6 = 9 14 + -11x = 9 + -4x + -6x Combine like terms: -4x + -6x = -10x 14 + -11x = 9 + -10x Solving 14 + -11x = 9 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 14 + -11x + 10x = 9 + -10x + 10x Combine like terms: -11x + 10x = -1x 14 + -1x = 9 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + -1x = 9 + 0 14 + -1x = 9 Add '-14' to each side of the equation. 14 + -14 + -1x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 9 + -14 -1x = 9 + -14 Combine like terms: 9 + -14 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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