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Simplifying 3(x + 12) = 9 + -2(x + -5) Reorder the terms: 3(12 + x) = 9 + -2(x + -5) (12 * 3 + x * 3) = 9 + -2(x + -5) (36 + 3x) = 9 + -2(x + -5) Reorder the terms: 36 + 3x = 9 + -2(-5 + x) 36 + 3x = 9 + (-5 * -2 + x * -2) 36 + 3x = 9 + (10 + -2x) Combine like terms: 9 + 10 = 19 36 + 3x = 19 + -2x Solving 36 + 3x = 19 + -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. 36 + 3x + 2x = 19 + -2x + 2x Combine like terms: 3x + 2x = 5x 36 + 5x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + 5x = 19 + 0 36 + 5x = 19 Add '-36' to each side of the equation. 36 + -36 + 5x = 19 + -36 Combine like terms: 36 + -36 = 0 0 + 5x = 19 + -36 5x = 19 + -36 Combine like terms: 19 + -36 = -17 5x = -17 Divide each side by '5'. x = -3.4 Simplifying x = -3.4
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