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Simplifying 12(x + 1) = 2x + 62 Reorder the terms: 12(1 + x) = 2x + 62 (1 * 12 + x * 12) = 2x + 62 (12 + 12x) = 2x + 62 Reorder the terms: 12 + 12x = 62 + 2x Solving 12 + 12x = 62 + 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. 12 + 12x + -2x = 62 + 2x + -2x Combine like terms: 12x + -2x = 10x 12 + 10x = 62 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 10x = 62 + 0 12 + 10x = 62 Add '-12' to each side of the equation. 12 + -12 + 10x = 62 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 62 + -12 10x = 62 + -12 Combine like terms: 62 + -12 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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