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Simplifying 2(x + -6) = 6x + -5(x + -8) Reorder the terms: 2(-6 + x) = 6x + -5(x + -8) (-6 * 2 + x * 2) = 6x + -5(x + -8) (-12 + 2x) = 6x + -5(x + -8) Reorder the terms: -12 + 2x = 6x + -5(-8 + x) -12 + 2x = 6x + (-8 * -5 + x * -5) -12 + 2x = 6x + (40 + -5x) Reorder the terms: -12 + 2x = 40 + 6x + -5x Combine like terms: 6x + -5x = 1x -12 + 2x = 40 + 1x Solving -12 + 2x = 40 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 2x + -1x = 40 + 1x + -1x Combine like terms: 2x + -1x = 1x -12 + 1x = 40 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + 1x = 40 + 0 -12 + 1x = 40 Add '12' to each side of the equation. -12 + 12 + 1x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 40 + 12 1x = 40 + 12 Combine like terms: 40 + 12 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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