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Simplifying 3(x + -6) + 8x = 5(2x + -1) Reorder the terms: 3(-6 + x) + 8x = 5(2x + -1) (-6 * 3 + x * 3) + 8x = 5(2x + -1) (-18 + 3x) + 8x = 5(2x + -1) Combine like terms: 3x + 8x = 11x -18 + 11x = 5(2x + -1) Reorder the terms: -18 + 11x = 5(-1 + 2x) -18 + 11x = (-1 * 5 + 2x * 5) -18 + 11x = (-5 + 10x) Solving -18 + 11x = -5 + 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 + 11x + -10x = -5 + 10x + -10x Combine like terms: 11x + -10x = 1x -18 + 1x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + 1x = -5 + 0 -18 + 1x = -5 Add '18' to each side of the equation. -18 + 18 + 1x = -5 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -5 + 18 1x = -5 + 18 Combine like terms: -5 + 18 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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