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Simplifying 4(x + 5) = -16(x + 4) Reorder the terms: 4(5 + x) = -16(x + 4) (5 * 4 + x * 4) = -16(x + 4) (20 + 4x) = -16(x + 4) Reorder the terms: 20 + 4x = -16(4 + x) 20 + 4x = (4 * -16 + x * -16) 20 + 4x = (-64 + -16x) Solving 20 + 4x = -64 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 20 + 4x + 16x = -64 + -16x + 16x Combine like terms: 4x + 16x = 20x 20 + 20x = -64 + -16x + 16x Combine like terms: -16x + 16x = 0 20 + 20x = -64 + 0 20 + 20x = -64 Add '-20' to each side of the equation. 20 + -20 + 20x = -64 + -20 Combine like terms: 20 + -20 = 0 0 + 20x = -64 + -20 20x = -64 + -20 Combine like terms: -64 + -20 = -84 20x = -84 Divide each side by '20'. x = -4.2 Simplifying x = -4.2
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