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Simplifying -4(8 + 5x) = 86 + (2x + -8) (8 * -4 + 5x * -4) = 86 + (2x + -8) (-32 + -20x) = 86 + (2x + -8) Reorder the terms: -32 + -20x = 86 + (-8 + 2x) Remove parenthesis around (-8 + 2x) -32 + -20x = 86 + -8 + 2x Combine like terms: 86 + -8 = 78 -32 + -20x = 78 + 2x Solving -32 + -20x = 78 + 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. -32 + -20x + -2x = 78 + 2x + -2x Combine like terms: -20x + -2x = -22x -32 + -22x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + -22x = 78 + 0 -32 + -22x = 78 Add '32' to each side of the equation. -32 + 32 + -22x = 78 + 32 Combine like terms: -32 + 32 = 0 0 + -22x = 78 + 32 -22x = 78 + 32 Combine like terms: 78 + 32 = 110 -22x = 110 Divide each side by '-22'. x = -5 Simplifying x = -5
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