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Simplifying 2(x + -3) + -3(2x + -6) = 24 Reorder the terms: 2(-3 + x) + -3(2x + -6) = 24 (-3 * 2 + x * 2) + -3(2x + -6) = 24 (-6 + 2x) + -3(2x + -6) = 24 Reorder the terms: -6 + 2x + -3(-6 + 2x) = 24 -6 + 2x + (-6 * -3 + 2x * -3) = 24 -6 + 2x + (18 + -6x) = 24 Reorder the terms: -6 + 18 + 2x + -6x = 24 Combine like terms: -6 + 18 = 12 12 + 2x + -6x = 24 Combine like terms: 2x + -6x = -4x 12 + -4x = 24 Solving 12 + -4x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -4x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 24 + -12 -4x = 24 + -12 Combine like terms: 24 + -12 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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