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Simplifying 5(x + 2) = 2(x + 1) Reorder the terms: 5(2 + x) = 2(x + 1) (2 * 5 + x * 5) = 2(x + 1) (10 + 5x) = 2(x + 1) Reorder the terms: 10 + 5x = 2(1 + x) 10 + 5x = (1 * 2 + x * 2) 10 + 5x = (2 + 2x) Solving 10 + 5x = 2 + 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. 10 + 5x + -2x = 2 + 2x + -2x Combine like terms: 5x + -2x = 3x 10 + 3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 3x = 2 + 0 10 + 3x = 2 Add '-10' to each side of the equation. 10 + -10 + 3x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 2 + -10 3x = 2 + -10 Combine like terms: 2 + -10 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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