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Simplifying -1(2x + 1) + 2 = 5(x + 3) Reorder the terms: -1(1 + 2x) + 2 = 5(x + 3) (1 * -1 + 2x * -1) + 2 = 5(x + 3) (-1 + -2x) + 2 = 5(x + 3) Reorder the terms: -1 + 2 + -2x = 5(x + 3) Combine like terms: -1 + 2 = 1 1 + -2x = 5(x + 3) Reorder the terms: 1 + -2x = 5(3 + x) 1 + -2x = (3 * 5 + x * 5) 1 + -2x = (15 + 5x) Solving 1 + -2x = 15 + 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. 1 + -2x + -5x = 15 + 5x + -5x Combine like terms: -2x + -5x = -7x 1 + -7x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -7x = 15 + 0 1 + -7x = 15 Add '-1' to each side of the equation. 1 + -1 + -7x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 15 + -1 -7x = 15 + -1 Combine like terms: 15 + -1 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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