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Simplifying -3(6 + -2x) + 5x = -1(2x + -8) (6 * -3 + -2x * -3) + 5x = -1(2x + -8) (-18 + 6x) + 5x = -1(2x + -8) Combine like terms: 6x + 5x = 11x -18 + 11x = -1(2x + -8) Reorder the terms: -18 + 11x = -1(-8 + 2x) -18 + 11x = (-8 * -1 + 2x * -1) -18 + 11x = (8 + -2x) Solving -18 + 11x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -18 + 11x + 2x = 8 + -2x + 2x Combine like terms: 11x + 2x = 13x -18 + 13x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 13x = 8 + 0 -18 + 13x = 8 Add '18' to each side of the equation. -18 + 18 + 13x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 13x = 8 + 18 13x = 8 + 18 Combine like terms: 8 + 18 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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