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Simplifying 12(x + -3) + 100 = 10x + 82 Reorder the terms: 12(-3 + x) + 100 = 10x + 82 (-3 * 12 + x * 12) + 100 = 10x + 82 (-36 + 12x) + 100 = 10x + 82 Reorder the terms: -36 + 100 + 12x = 10x + 82 Combine like terms: -36 + 100 = 64 64 + 12x = 10x + 82 Reorder the terms: 64 + 12x = 82 + 10x Solving 64 + 12x = 82 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 64 + 12x + -10x = 82 + 10x + -10x Combine like terms: 12x + -10x = 2x 64 + 2x = 82 + 10x + -10x Combine like terms: 10x + -10x = 0 64 + 2x = 82 + 0 64 + 2x = 82 Add '-64' to each side of the equation. 64 + -64 + 2x = 82 + -64 Combine like terms: 64 + -64 = 0 0 + 2x = 82 + -64 2x = 82 + -64 Combine like terms: 82 + -64 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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