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Simplifying 4(x + 5) = 2(x + -4) Reorder the terms: 4(5 + x) = 2(x + -4) (5 * 4 + x * 4) = 2(x + -4) (20 + 4x) = 2(x + -4) Reorder the terms: 20 + 4x = 2(-4 + x) 20 + 4x = (-4 * 2 + x * 2) 20 + 4x = (-8 + 2x) Solving 20 + 4x = -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. 20 + 4x + -2x = -8 + 2x + -2x Combine like terms: 4x + -2x = 2x 20 + 2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 2x = -8 + 0 20 + 2x = -8 Add '-20' to each side of the equation. 20 + -20 + 2x = -8 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = -8 + -20 2x = -8 + -20 Combine like terms: -8 + -20 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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