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Simplifying 12 + -3(x + 3) = 15(x + 2) + -6 Reorder the terms: 12 + -3(3 + x) = 15(x + 2) + -6 12 + (3 * -3 + x * -3) = 15(x + 2) + -6 12 + (-9 + -3x) = 15(x + 2) + -6 Combine like terms: 12 + -9 = 3 3 + -3x = 15(x + 2) + -6 Reorder the terms: 3 + -3x = 15(2 + x) + -6 3 + -3x = (2 * 15 + x * 15) + -6 3 + -3x = (30 + 15x) + -6 Reorder the terms: 3 + -3x = 30 + -6 + 15x Combine like terms: 30 + -6 = 24 3 + -3x = 24 + 15x Solving 3 + -3x = 24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 3 + -3x + -15x = 24 + 15x + -15x Combine like terms: -3x + -15x = -18x 3 + -18x = 24 + 15x + -15x Combine like terms: 15x + -15x = 0 3 + -18x = 24 + 0 3 + -18x = 24 Add '-3' to each side of the equation. 3 + -3 + -18x = 24 + -3 Combine like terms: 3 + -3 = 0 0 + -18x = 24 + -3 -18x = 24 + -3 Combine like terms: 24 + -3 = 21 -18x = 21 Divide each side by '-18'. x = -1.166666667 Simplifying x = -1.166666667
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