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Simplifying -2(5x + -5) + 3(4x + 2) + 10(10x + 5) = 5(12x + 3) + 2x + -29 Reorder the terms: -2(-5 + 5x) + 3(4x + 2) + 10(10x + 5) = 5(12x + 3) + 2x + -29 (-5 * -2 + 5x * -2) + 3(4x + 2) + 10(10x + 5) = 5(12x + 3) + 2x + -29 (10 + -10x) + 3(4x + 2) + 10(10x + 5) = 5(12x + 3) + 2x + -29 Reorder the terms: 10 + -10x + 3(2 + 4x) + 10(10x + 5) = 5(12x + 3) + 2x + -29 10 + -10x + (2 * 3 + 4x * 3) + 10(10x + 5) = 5(12x + 3) + 2x + -29 10 + -10x + (6 + 12x) + 10(10x + 5) = 5(12x + 3) + 2x + -29 Reorder the terms: 10 + -10x + 6 + 12x + 10(5 + 10x) = 5(12x + 3) + 2x + -29 10 + -10x + 6 + 12x + (5 * 10 + 10x * 10) = 5(12x + 3) + 2x + -29 10 + -10x + 6 + 12x + (50 + 100x) = 5(12x + 3) + 2x + -29 Reorder the terms: 10 + 6 + 50 + -10x + 12x + 100x = 5(12x + 3) + 2x + -29 Combine like terms: 10 + 6 = 16 16 + 50 + -10x + 12x + 100x = 5(12x + 3) + 2x + -29 Combine like terms: 16 + 50 = 66 66 + -10x + 12x + 100x = 5(12x + 3) + 2x + -29 Combine like terms: -10x + 12x = 2x 66 + 2x + 100x = 5(12x + 3) + 2x + -29 Combine like terms: 2x + 100x = 102x 66 + 102x = 5(12x + 3) + 2x + -29 Reorder the terms: 66 + 102x = 5(3 + 12x) + 2x + -29 66 + 102x = (3 * 5 + 12x * 5) + 2x + -29 66 + 102x = (15 + 60x) + 2x + -29 Reorder the terms: 66 + 102x = 15 + -29 + 60x + 2x Combine like terms: 15 + -29 = -14 66 + 102x = -14 + 60x + 2x Combine like terms: 60x + 2x = 62x 66 + 102x = -14 + 62x Solving 66 + 102x = -14 + 62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62x' to each side of the equation. 66 + 102x + -62x = -14 + 62x + -62x Combine like terms: 102x + -62x = 40x 66 + 40x = -14 + 62x + -62x Combine like terms: 62x + -62x = 0 66 + 40x = -14 + 0 66 + 40x = -14 Add '-66' to each side of the equation. 66 + -66 + 40x = -14 + -66 Combine like terms: 66 + -66 = 0 0 + 40x = -14 + -66 40x = -14 + -66 Combine like terms: -14 + -66 = -80 40x = -80 Divide each side by '40'. x = -2 Simplifying x = -2
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