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Simplifying 10(x + 12) = 8x + 2 Reorder the terms: 10(12 + x) = 8x + 2 (12 * 10 + x * 10) = 8x + 2 (120 + 10x) = 8x + 2 Reorder the terms: 120 + 10x = 2 + 8x Solving 120 + 10x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 120 + 10x + -8x = 2 + 8x + -8x Combine like terms: 10x + -8x = 2x 120 + 2x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 120 + 2x = 2 + 0 120 + 2x = 2 Add '-120' to each side of the equation. 120 + -120 + 2x = 2 + -120 Combine like terms: 120 + -120 = 0 0 + 2x = 2 + -120 2x = 2 + -120 Combine like terms: 2 + -120 = -118 2x = -118 Divide each side by '2'. x = -59 Simplifying x = -59
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