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Simplifying 2x + 4 = -1(5x + -2) Reorder the terms: 4 + 2x = -1(5x + -2) Reorder the terms: 4 + 2x = -1(-2 + 5x) 4 + 2x = (-2 * -1 + 5x * -1) 4 + 2x = (2 + -5x) Solving 4 + 2x = 2 + -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. 4 + 2x + 5x = 2 + -5x + 5x Combine like terms: 2x + 5x = 7x 4 + 7x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 7x = 2 + 0 4 + 7x = 2 Add '-4' to each side of the equation. 4 + -4 + 7x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 2 + -4 7x = 2 + -4 Combine like terms: 2 + -4 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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