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Simplifying 2(x + -6) = 5(x + 1) Reorder the terms: 2(-6 + x) = 5(x + 1) (-6 * 2 + x * 2) = 5(x + 1) (-12 + 2x) = 5(x + 1) Reorder the terms: -12 + 2x = 5(1 + x) -12 + 2x = (1 * 5 + x * 5) -12 + 2x = (5 + 5x) Solving -12 + 2x = 5 + 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. -12 + 2x + -5x = 5 + 5x + -5x Combine like terms: 2x + -5x = -3x -12 + -3x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -3x = 5 + 0 -12 + -3x = 5 Add '12' to each side of the equation. -12 + 12 + -3x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 5 + 12 -3x = 5 + 12 Combine like terms: 5 + 12 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667
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