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Simplifying 4(x + 5) + x = -1(9 + -1x) Reorder the terms: 4(5 + x) + x = -1(9 + -1x) (5 * 4 + x * 4) + x = -1(9 + -1x) (20 + 4x) + x = -1(9 + -1x) Combine like terms: 4x + x = 5x 20 + 5x = -1(9 + -1x) 20 + 5x = (9 * -1 + -1x * -1) 20 + 5x = (-9 + 1x) Solving 20 + 5x = -9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + 5x + -1x = -9 + 1x + -1x Combine like terms: 5x + -1x = 4x 20 + 4x = -9 + 1x + -1x Combine like terms: 1x + -1x = 0 20 + 4x = -9 + 0 20 + 4x = -9 Add '-20' to each side of the equation. 20 + -20 + 4x = -9 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = -9 + -20 4x = -9 + -20 Combine like terms: -9 + -20 = -29 4x = -29 Divide each side by '4'. x = -7.25 Simplifying x = -7.25
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