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Simplifying 5(x + -1) + 17 = -3(6 + -2x) + -4x Reorder the terms: 5(-1 + x) + 17 = -3(6 + -2x) + -4x (-1 * 5 + x * 5) + 17 = -3(6 + -2x) + -4x (-5 + 5x) + 17 = -3(6 + -2x) + -4x Reorder the terms: -5 + 17 + 5x = -3(6 + -2x) + -4x Combine like terms: -5 + 17 = 12 12 + 5x = -3(6 + -2x) + -4x 12 + 5x = (6 * -3 + -2x * -3) + -4x 12 + 5x = (-18 + 6x) + -4x Combine like terms: 6x + -4x = 2x 12 + 5x = -18 + 2x Solving 12 + 5x = -18 + 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. 12 + 5x + -2x = -18 + 2x + -2x Combine like terms: 5x + -2x = 3x 12 + 3x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 3x = -18 + 0 12 + 3x = -18 Add '-12' to each side of the equation. 12 + -12 + 3x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -18 + -12 3x = -18 + -12 Combine like terms: -18 + -12 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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