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Simplifying 3(x + -6) + -8x = -2 + 5(2x + -1) Reorder the terms: 3(-6 + x) + -8x = -2 + 5(2x + -1) (-6 * 3 + x * 3) + -8x = -2 + 5(2x + -1) (-18 + 3x) + -8x = -2 + 5(2x + -1) Combine like terms: 3x + -8x = -5x -18 + -5x = -2 + 5(2x + -1) Reorder the terms: -18 + -5x = -2 + 5(-1 + 2x) -18 + -5x = -2 + (-1 * 5 + 2x * 5) -18 + -5x = -2 + (-5 + 10x) Combine like terms: -2 + -5 = -7 -18 + -5x = -7 + 10x Solving -18 + -5x = -7 + 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. -18 + -5x + -10x = -7 + 10x + -10x Combine like terms: -5x + -10x = -15x -18 + -15x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + -15x = -7 + 0 -18 + -15x = -7 Add '18' to each side of the equation. -18 + 18 + -15x = -7 + 18 Combine like terms: -18 + 18 = 0 0 + -15x = -7 + 18 -15x = -7 + 18 Combine like terms: -7 + 18 = 11 -15x = 11 Divide each side by '-15'. x = -0.7333333333 Simplifying x = -0.7333333333
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