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Simplifying 2(x + 7) = 12(x + 1) Reorder the terms: 2(7 + x) = 12(x + 1) (7 * 2 + x * 2) = 12(x + 1) (14 + 2x) = 12(x + 1) Reorder the terms: 14 + 2x = 12(1 + x) 14 + 2x = (1 * 12 + x * 12) 14 + 2x = (12 + 12x) Solving 14 + 2x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 14 + 2x + -12x = 12 + 12x + -12x Combine like terms: 2x + -12x = -10x 14 + -10x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -10x = 12 + 0 14 + -10x = 12 Add '-14' to each side of the equation. 14 + -14 + -10x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = 12 + -14 -10x = 12 + -14 Combine like terms: 12 + -14 = -2 -10x = -2 Divide each side by '-10'. x = 0.2 Simplifying x = 0.2
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