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Simplifying 5(x + 1) = 7(2 + -1x) Reorder the terms: 5(1 + x) = 7(2 + -1x) (1 * 5 + x * 5) = 7(2 + -1x) (5 + 5x) = 7(2 + -1x) 5 + 5x = (2 * 7 + -1x * 7) 5 + 5x = (14 + -7x) Solving 5 + 5x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + 5x + 7x = 14 + -7x + 7x Combine like terms: 5x + 7x = 12x 5 + 12x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 12x = 14 + 0 5 + 12x = 14 Add '-5' to each side of the equation. 5 + -5 + 12x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 14 + -5 12x = 14 + -5 Combine like terms: 14 + -5 = 9 12x = 9 Divide each side by '12'. x = 0.75 Simplifying x = 0.75
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