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Simplifying 2(4 + -2x) + -5 = -2(x + 5) + 5x (4 * 2 + -2x * 2) + -5 = -2(x + 5) + 5x (8 + -4x) + -5 = -2(x + 5) + 5x Reorder the terms: 8 + -5 + -4x = -2(x + 5) + 5x Combine like terms: 8 + -5 = 3 3 + -4x = -2(x + 5) + 5x Reorder the terms: 3 + -4x = -2(5 + x) + 5x 3 + -4x = (5 * -2 + x * -2) + 5x 3 + -4x = (-10 + -2x) + 5x Combine like terms: -2x + 5x = 3x 3 + -4x = -10 + 3x Solving 3 + -4x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + -4x + -3x = -10 + 3x + -3x Combine like terms: -4x + -3x = -7x 3 + -7x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -7x = -10 + 0 3 + -7x = -10 Add '-3' to each side of the equation. 3 + -3 + -7x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -10 + -3 -7x = -10 + -3 Combine like terms: -10 + -3 = -13 -7x = -13 Divide each side by '-7'. x = 1.857142857 Simplifying x = 1.857142857
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