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Simplifying 5(2x + 1) = 3(x + 1) Reorder the terms: 5(1 + 2x) = 3(x + 1) (1 * 5 + 2x * 5) = 3(x + 1) (5 + 10x) = 3(x + 1) Reorder the terms: 5 + 10x = 3(1 + x) 5 + 10x = (1 * 3 + x * 3) 5 + 10x = (3 + 3x) Solving 5 + 10x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 10x + -3x = 3 + 3x + -3x Combine like terms: 10x + -3x = 7x 5 + 7x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 7x = 3 + 0 5 + 7x = 3 Add '-5' to each side of the equation. 5 + -5 + 7x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 3 + -5 7x = 3 + -5 Combine like terms: 3 + -5 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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