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