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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 = 25 -15x = 25 Divide each side by '-15'. x = -1.666666667 Simplifying x = -1.666666667
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