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Simplifying 24 = 3(x + 6) + 6(x + -2) Reorder the terms: 24 = 3(6 + x) + 6(x + -2) 24 = (6 * 3 + x * 3) + 6(x + -2) 24 = (18 + 3x) + 6(x + -2) Reorder the terms: 24 = 18 + 3x + 6(-2 + x) 24 = 18 + 3x + (-2 * 6 + x * 6) 24 = 18 + 3x + (-12 + 6x) Reorder the terms: 24 = 18 + -12 + 3x + 6x Combine like terms: 18 + -12 = 6 24 = 6 + 3x + 6x Combine like terms: 3x + 6x = 9x 24 = 6 + 9x Solving 24 = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + -9x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -9x = 6 + 0 24 + -9x = 6 Add '-24' to each side of the equation. 24 + -24 + -9x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = 6 + -24 -9x = 6 + -24 Combine like terms: 6 + -24 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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