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Simplifying 2x + 4(x + -2) = -1(2x + -8) Reorder the terms: 2x + 4(-2 + x) = -1(2x + -8) 2x + (-2 * 4 + x * 4) = -1(2x + -8) 2x + (-8 + 4x) = -1(2x + -8) Reorder the terms: -8 + 2x + 4x = -1(2x + -8) Combine like terms: 2x + 4x = 6x -8 + 6x = -1(2x + -8) Reorder the terms: -8 + 6x = -1(-8 + 2x) -8 + 6x = (-8 * -1 + 2x * -1) -8 + 6x = (8 + -2x) Solving -8 + 6x = 8 + -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. -8 + 6x + 2x = 8 + -2x + 2x Combine like terms: 6x + 2x = 8x -8 + 8x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 8x = 8 + 0 -8 + 8x = 8 Add '8' to each side of the equation. -8 + 8 + 8x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 8 + 8 8x = 8 + 8 Combine like terms: 8 + 8 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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