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Simplifying -5(x + -4) = 4(x + 1) Reorder the terms: -5(-4 + x) = 4(x + 1) (-4 * -5 + x * -5) = 4(x + 1) (20 + -5x) = 4(x + 1) Reorder the terms: 20 + -5x = 4(1 + x) 20 + -5x = (1 * 4 + x * 4) 20 + -5x = (4 + 4x) Solving 20 + -5x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -5x + -4x = 4 + 4x + -4x Combine like terms: -5x + -4x = -9x 20 + -9x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -9x = 4 + 0 20 + -9x = 4 Add '-20' to each side of the equation. 20 + -20 + -9x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = 4 + -20 -9x = 4 + -20 Combine like terms: 4 + -20 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778
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