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