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Simplifying 20 = 5(x + -1) + -1(x + -9) Reorder the terms: 20 = 5(-1 + x) + -1(x + -9) 20 = (-1 * 5 + x * 5) + -1(x + -9) 20 = (-5 + 5x) + -1(x + -9) Reorder the terms: 20 = -5 + 5x + -1(-9 + x) 20 = -5 + 5x + (-9 * -1 + x * -1) 20 = -5 + 5x + (9 + -1x) Reorder the terms: 20 = -5 + 9 + 5x + -1x Combine like terms: -5 + 9 = 4 20 = 4 + 5x + -1x Combine like terms: 5x + -1x = 4x 20 = 4 + 4x Solving 20 = 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 + -4x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -4x = 4 + 0 20 + -4x = 4 Add '-20' to each side of the equation. 20 + -20 + -4x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 4 + -20 -4x = 4 + -20 Combine like terms: 4 + -20 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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