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Simplifying 5(x + 1) = 2(x + 7) Reorder the terms: 5(1 + x) = 2(x + 7) (1 * 5 + x * 5) = 2(x + 7) (5 + 5x) = 2(x + 7) Reorder the terms: 5 + 5x = 2(7 + x) 5 + 5x = (7 * 2 + x * 2) 5 + 5x = (14 + 2x) Solving 5 + 5x = 14 + 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. 5 + 5x + -2x = 14 + 2x + -2x Combine like terms: 5x + -2x = 3x 5 + 3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 3x = 14 + 0 5 + 3x = 14 Add '-5' to each side of the equation. 5 + -5 + 3x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 14 + -5 3x = 14 + -5 Combine like terms: 14 + -5 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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