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Simplifying -4(x + -5) = 2(x + 8) Reorder the terms: -4(-5 + x) = 2(x + 8) (-5 * -4 + x * -4) = 2(x + 8) (20 + -4x) = 2(x + 8) Reorder the terms: 20 + -4x = 2(8 + x) 20 + -4x = (8 * 2 + x * 2) 20 + -4x = (16 + 2x) Solving 20 + -4x = 16 + 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. 20 + -4x + -2x = 16 + 2x + -2x Combine like terms: -4x + -2x = -6x 20 + -6x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -6x = 16 + 0 20 + -6x = 16 Add '-20' to each side of the equation. 20 + -20 + -6x = 16 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = 16 + -20 -6x = 16 + -20 Combine like terms: 16 + -20 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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