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Simplifying 2(x + -6) + -3(2x + 8) = 72 Reorder the terms: 2(-6 + x) + -3(2x + 8) = 72 (-6 * 2 + x * 2) + -3(2x + 8) = 72 (-12 + 2x) + -3(2x + 8) = 72 Reorder the terms: -12 + 2x + -3(8 + 2x) = 72 -12 + 2x + (8 * -3 + 2x * -3) = 72 -12 + 2x + (-24 + -6x) = 72 Reorder the terms: -12 + -24 + 2x + -6x = 72 Combine like terms: -12 + -24 = -36 -36 + 2x + -6x = 72 Combine like terms: 2x + -6x = -4x -36 + -4x = 72 Solving -36 + -4x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -4x = 72 + 36 Combine like terms: -36 + 36 = 0 0 + -4x = 72 + 36 -4x = 72 + 36 Combine like terms: 72 + 36 = 108 -4x = 108 Divide each side by '-4'. x = -27 Simplifying x = -27
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