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Simplifying 3(x + 12) + 2(x + 1) = -5(x + -3) Reorder the terms: 3(12 + x) + 2(x + 1) = -5(x + -3) (12 * 3 + x * 3) + 2(x + 1) = -5(x + -3) (36 + 3x) + 2(x + 1) = -5(x + -3) Reorder the terms: 36 + 3x + 2(1 + x) = -5(x + -3) 36 + 3x + (1 * 2 + x * 2) = -5(x + -3) 36 + 3x + (2 + 2x) = -5(x + -3) Reorder the terms: 36 + 2 + 3x + 2x = -5(x + -3) Combine like terms: 36 + 2 = 38 38 + 3x + 2x = -5(x + -3) Combine like terms: 3x + 2x = 5x 38 + 5x = -5(x + -3) Reorder the terms: 38 + 5x = -5(-3 + x) 38 + 5x = (-3 * -5 + x * -5) 38 + 5x = (15 + -5x) Solving 38 + 5x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 38 + 5x + 5x = 15 + -5x + 5x Combine like terms: 5x + 5x = 10x 38 + 10x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 38 + 10x = 15 + 0 38 + 10x = 15 Add '-38' to each side of the equation. 38 + -38 + 10x = 15 + -38 Combine like terms: 38 + -38 = 0 0 + 10x = 15 + -38 10x = 15 + -38 Combine like terms: 15 + -38 = -23 10x = -23 Divide each side by '10'. x = -2.3 Simplifying x = -2.3
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