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Simplifying -2(-2x + 7) + -8x = 2(x + -5) + -1 Reorder the terms: -2(7 + -2x) + -8x = 2(x + -5) + -1 (7 * -2 + -2x * -2) + -8x = 2(x + -5) + -1 (-14 + 4x) + -8x = 2(x + -5) + -1 Combine like terms: 4x + -8x = -4x -14 + -4x = 2(x + -5) + -1 Reorder the terms: -14 + -4x = 2(-5 + x) + -1 -14 + -4x = (-5 * 2 + x * 2) + -1 -14 + -4x = (-10 + 2x) + -1 Reorder the terms: -14 + -4x = -10 + -1 + 2x Combine like terms: -10 + -1 = -11 -14 + -4x = -11 + 2x Solving -14 + -4x = -11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + -4x + -2x = -11 + 2x + -2x Combine like terms: -4x + -2x = -6x -14 + -6x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -6x = -11 + 0 -14 + -6x = -11 Add '14' to each side of the equation. -14 + 14 + -6x = -11 + 14 Combine like terms: -14 + 14 = 0 0 + -6x = -11 + 14 -6x = -11 + 14 Combine like terms: -11 + 14 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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