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Simplifying -3(-7x + 6) + -8x = 5(x + -1) + -9 Reorder the terms: -3(6 + -7x) + -8x = 5(x + -1) + -9 (6 * -3 + -7x * -3) + -8x = 5(x + -1) + -9 (-18 + 21x) + -8x = 5(x + -1) + -9 Combine like terms: 21x + -8x = 13x -18 + 13x = 5(x + -1) + -9 Reorder the terms: -18 + 13x = 5(-1 + x) + -9 -18 + 13x = (-1 * 5 + x * 5) + -9 -18 + 13x = (-5 + 5x) + -9 Reorder the terms: -18 + 13x = -5 + -9 + 5x Combine like terms: -5 + -9 = -14 -18 + 13x = -14 + 5x Solving -18 + 13x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 13x + -5x = -14 + 5x + -5x Combine like terms: 13x + -5x = 8x -18 + 8x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 8x = -14 + 0 -18 + 8x = -14 Add '18' to each side of the equation. -18 + 18 + 8x = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = -14 + 18 8x = -14 + 18 Combine like terms: -14 + 18 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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