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Simplifying 3(2x + -1) + x + -2 = 5(1 + x) Reorder the terms: 3(-1 + 2x) + x + -2 = 5(1 + x) (-1 * 3 + 2x * 3) + x + -2 = 5(1 + x) (-3 + 6x) + x + -2 = 5(1 + x) Reorder the terms: -3 + -2 + 6x + x = 5(1 + x) Combine like terms: -3 + -2 = -5 -5 + 6x + x = 5(1 + x) Combine like terms: 6x + x = 7x -5 + 7x = 5(1 + x) -5 + 7x = (1 * 5 + x * 5) -5 + 7x = (5 + 5x) Solving -5 + 7x = 5 + 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. -5 + 7x + -5x = 5 + 5x + -5x Combine like terms: 7x + -5x = 2x -5 + 2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 2x = 5 + 0 -5 + 2x = 5 Add '5' to each side of the equation. -5 + 5 + 2x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 5 + 5 2x = 5 + 5 Combine like terms: 5 + 5 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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