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Simplifying 1 = 5(x + -4) + -1(x + -9) Reorder the terms: 1 = 5(-4 + x) + -1(x + -9) 1 = (-4 * 5 + x * 5) + -1(x + -9) 1 = (-20 + 5x) + -1(x + -9) Reorder the terms: 1 = -20 + 5x + -1(-9 + x) 1 = -20 + 5x + (-9 * -1 + x * -1) 1 = -20 + 5x + (9 + -1x) Reorder the terms: 1 = -20 + 9 + 5x + -1x Combine like terms: -20 + 9 = -11 1 = -11 + 5x + -1x Combine like terms: 5x + -1x = 4x 1 = -11 + 4x Solving 1 = -11 + 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. 1 + -4x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -4x = -11 + 0 1 + -4x = -11 Add '-1' to each side of the equation. 1 + -1 + -4x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -11 + -1 -4x = -11 + -1 Combine like terms: -11 + -1 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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