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Simplifying 2x + 5 = x + 3(1 + -2x) Reorder the terms: 5 + 2x = x + 3(1 + -2x) 5 + 2x = x + (1 * 3 + -2x * 3) 5 + 2x = x + (3 + -6x) Reorder the terms: 5 + 2x = 3 + x + -6x Combine like terms: x + -6x = -5x 5 + 2x = 3 + -5x Solving 5 + 2x = 3 + -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 + 2x + 5x = 3 + -5x + 5x Combine like terms: 2x + 5x = 7x 5 + 7x = 3 + -5x + 5x Combine like terms: -5x + 5x = 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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