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Simplifying 12(x + 5) = 10x + 76 Reorder the terms: 12(5 + x) = 10x + 76 (5 * 12 + x * 12) = 10x + 76 (60 + 12x) = 10x + 76 Reorder the terms: 60 + 12x = 76 + 10x Solving 60 + 12x = 76 + 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. 60 + 12x + -10x = 76 + 10x + -10x Combine like terms: 12x + -10x = 2x 60 + 2x = 76 + 10x + -10x Combine like terms: 10x + -10x = 0 60 + 2x = 76 + 0 60 + 2x = 76 Add '-60' to each side of the equation. 60 + -60 + 2x = 76 + -60 Combine like terms: 60 + -60 = 0 0 + 2x = 76 + -60 2x = 76 + -60 Combine like terms: 76 + -60 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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