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Simplifying 12x + -3(x + -5) = 2(x + 2) Reorder the terms: 12x + -3(-5 + x) = 2(x + 2) 12x + (-5 * -3 + x * -3) = 2(x + 2) 12x + (15 + -3x) = 2(x + 2) Reorder the terms: 15 + 12x + -3x = 2(x + 2) Combine like terms: 12x + -3x = 9x 15 + 9x = 2(x + 2) Reorder the terms: 15 + 9x = 2(2 + x) 15 + 9x = (2 * 2 + x * 2) 15 + 9x = (4 + 2x) Solving 15 + 9x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 9x + -2x = 4 + 2x + -2x Combine like terms: 9x + -2x = 7x 15 + 7x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 7x = 4 + 0 15 + 7x = 4 Add '-15' to each side of the equation. 15 + -15 + 7x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 4 + -15 7x = 4 + -15 Combine like terms: 4 + -15 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571
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