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Simplifying 5(x + 1) = 2(2 + x) Reorder the terms: 5(1 + x) = 2(2 + x) (1 * 5 + x * 5) = 2(2 + x) (5 + 5x) = 2(2 + x) 5 + 5x = (2 * 2 + x * 2) 5 + 5x = (4 + 2x) Solving 5 + 5x = 4 + 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 = 4 + 2x + -2x Combine like terms: 5x + -2x = 3x 5 + 3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 3x = 4 + 0 5 + 3x = 4 Add '-5' to each side of the equation. 5 + -5 + 3x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 4 + -5 3x = 4 + -5 Combine like terms: 4 + -5 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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