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