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Simplifying (3x + 15) + -1(12x + -24) = 8 Reorder the terms: (15 + 3x) + -1(12x + -24) = 8 Remove parenthesis around (15 + 3x) 15 + 3x + -1(12x + -24) = 8 Reorder the terms: 15 + 3x + -1(-24 + 12x) = 8 15 + 3x + (-24 * -1 + 12x * -1) = 8 15 + 3x + (24 + -12x) = 8 Reorder the terms: 15 + 24 + 3x + -12x = 8 Combine like terms: 15 + 24 = 39 39 + 3x + -12x = 8 Combine like terms: 3x + -12x = -9x 39 + -9x = 8 Solving 39 + -9x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -9x = 8 + -39 Combine like terms: 39 + -39 = 0 0 + -9x = 8 + -39 -9x = 8 + -39 Combine like terms: 8 + -39 = -31 -9x = -31 Divide each side by '-9'. x = 3.444444444 Simplifying x = 3.444444444
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