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Simplifying 12(x + 3) = 2(x + 5) + -3 Reorder the terms: 12(3 + x) = 2(x + 5) + -3 (3 * 12 + x * 12) = 2(x + 5) + -3 (36 + 12x) = 2(x + 5) + -3 Reorder the terms: 36 + 12x = 2(5 + x) + -3 36 + 12x = (5 * 2 + x * 2) + -3 36 + 12x = (10 + 2x) + -3 Reorder the terms: 36 + 12x = 10 + -3 + 2x Combine like terms: 10 + -3 = 7 36 + 12x = 7 + 2x Solving 36 + 12x = 7 + 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 + 12x + -2x = 7 + 2x + -2x Combine like terms: 12x + -2x = 10x 36 + 10x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 10x = 7 + 0 36 + 10x = 7 Add '-36' to each side of the equation. 36 + -36 + 10x = 7 + -36 Combine like terms: 36 + -36 = 0 0 + 10x = 7 + -36 10x = 7 + -36 Combine like terms: 7 + -36 = -29 10x = -29 Divide each side by '10'. x = -2.9 Simplifying x = -2.9
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