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Simplifying -2(2x + -1) + 4x = 8 + 2(5x + -7) Reorder the terms: -2(-1 + 2x) + 4x = 8 + 2(5x + -7) (-1 * -2 + 2x * -2) + 4x = 8 + 2(5x + -7) (2 + -4x) + 4x = 8 + 2(5x + -7) Combine like terms: -4x + 4x = 0 2 + 0 = 8 + 2(5x + -7) 2 = 8 + 2(5x + -7) Reorder the terms: 2 = 8 + 2(-7 + 5x) 2 = 8 + (-7 * 2 + 5x * 2) 2 = 8 + (-14 + 10x) Combine like terms: 8 + -14 = -6 2 = -6 + 10x Solving 2 = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + -10x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -10x = -6 + 0 2 + -10x = -6 Add '-2' to each side of the equation. 2 + -2 + -10x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -6 + -2 -10x = -6 + -2 Combine like terms: -6 + -2 = -8 -10x = -8 Divide each side by '-10'. x = 0.8 Simplifying x = 0.8
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