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Simplifying 3(x + 1) = 5x + 2 Reorder the terms: 3(1 + x) = 5x + 2 (1 * 3 + x * 3) = 5x + 2 (3 + 3x) = 5x + 2 Reorder the terms: 3 + 3x = 2 + 5x Solving 3 + 3x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 3x + -5x = 2 + 5x + -5x Combine like terms: 3x + -5x = -2x 3 + -2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -2x = 2 + 0 3 + -2x = 2 Add '-3' to each side of the equation. 3 + -3 + -2x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 2 + -3 -2x = 2 + -3 Combine like terms: 2 + -3 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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