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Simplifying 4(x + 5) = -4x + -2(2 + -8x) Reorder the terms: 4(5 + x) = -4x + -2(2 + -8x) (5 * 4 + x * 4) = -4x + -2(2 + -8x) (20 + 4x) = -4x + -2(2 + -8x) 20 + 4x = -4x + (2 * -2 + -8x * -2) 20 + 4x = -4x + (-4 + 16x) Reorder the terms: 20 + 4x = -4 + -4x + 16x Combine like terms: -4x + 16x = 12x 20 + 4x = -4 + 12x Solving 20 + 4x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + 4x + -12x = -4 + 12x + -12x Combine like terms: 4x + -12x = -8x 20 + -8x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -8x = -4 + 0 20 + -8x = -4 Add '-20' to each side of the equation. 20 + -20 + -8x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -4 + -20 -8x = -4 + -20 Combine like terms: -4 + -20 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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