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Simplifying -12(x + -2) + 3(7x + 12) = 7 + 10x + -8x + -10 Reorder the terms: -12(-2 + x) + 3(7x + 12) = 7 + 10x + -8x + -10 (-2 * -12 + x * -12) + 3(7x + 12) = 7 + 10x + -8x + -10 (24 + -12x) + 3(7x + 12) = 7 + 10x + -8x + -10 Reorder the terms: 24 + -12x + 3(12 + 7x) = 7 + 10x + -8x + -10 24 + -12x + (12 * 3 + 7x * 3) = 7 + 10x + -8x + -10 24 + -12x + (36 + 21x) = 7 + 10x + -8x + -10 Reorder the terms: 24 + 36 + -12x + 21x = 7 + 10x + -8x + -10 Combine like terms: 24 + 36 = 60 60 + -12x + 21x = 7 + 10x + -8x + -10 Combine like terms: -12x + 21x = 9x 60 + 9x = 7 + 10x + -8x + -10 Reorder the terms: 60 + 9x = 7 + -10 + 10x + -8x Combine like terms: 7 + -10 = -3 60 + 9x = -3 + 10x + -8x Combine like terms: 10x + -8x = 2x 60 + 9x = -3 + 2x Solving 60 + 9x = -3 + 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. 60 + 9x + -2x = -3 + 2x + -2x Combine like terms: 9x + -2x = 7x 60 + 7x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 60 + 7x = -3 + 0 60 + 7x = -3 Add '-60' to each side of the equation. 60 + -60 + 7x = -3 + -60 Combine like terms: 60 + -60 = 0 0 + 7x = -3 + -60 7x = -3 + -60 Combine like terms: -3 + -60 = -63 7x = -63 Divide each side by '7'. x = -9 Simplifying x = -9
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