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Simplifying 12(x + 2) + 5 = 2x + -1 Reorder the terms: 12(2 + x) + 5 = 2x + -1 (2 * 12 + x * 12) + 5 = 2x + -1 (24 + 12x) + 5 = 2x + -1 Reorder the terms: 24 + 5 + 12x = 2x + -1 Combine like terms: 24 + 5 = 29 29 + 12x = 2x + -1 Reorder the terms: 29 + 12x = -1 + 2x Solving 29 + 12x = -1 + 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. 29 + 12x + -2x = -1 + 2x + -2x Combine like terms: 12x + -2x = 10x 29 + 10x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 29 + 10x = -1 + 0 29 + 10x = -1 Add '-29' to each side of the equation. 29 + -29 + 10x = -1 + -29 Combine like terms: 29 + -29 = 0 0 + 10x = -1 + -29 10x = -1 + -29 Combine like terms: -1 + -29 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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