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Simplifying -4(x + -2) = 4(2x + 5) Reorder the terms: -4(-2 + x) = 4(2x + 5) (-2 * -4 + x * -4) = 4(2x + 5) (8 + -4x) = 4(2x + 5) Reorder the terms: 8 + -4x = 4(5 + 2x) 8 + -4x = (5 * 4 + 2x * 4) 8 + -4x = (20 + 8x) Solving 8 + -4x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + -4x + -8x = 20 + 8x + -8x Combine like terms: -4x + -8x = -12x 8 + -12x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -12x = 20 + 0 8 + -12x = 20 Add '-8' to each side of the equation. 8 + -8 + -12x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = 20 + -8 -12x = 20 + -8 Combine like terms: 20 + -8 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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