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Simplifying 5 = 5(x + -4) + -1(x + -9) Reorder the terms: 5 = 5(-4 + x) + -1(x + -9) 5 = (-4 * 5 + x * 5) + -1(x + -9) 5 = (-20 + 5x) + -1(x + -9) Reorder the terms: 5 = -20 + 5x + -1(-9 + x) 5 = -20 + 5x + (-9 * -1 + x * -1) 5 = -20 + 5x + (9 + -1x) Reorder the terms: 5 = -20 + 9 + 5x + -1x Combine like terms: -20 + 9 = -11 5 = -11 + 5x + -1x Combine like terms: 5x + -1x = 4x 5 = -11 + 4x Solving 5 = -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. 5 + -4x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -4x = -11 + 0 5 + -4x = -11 Add '-5' to each side of the equation. 5 + -5 + -4x = -11 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -11 + -5 -4x = -11 + -5 Combine like terms: -11 + -5 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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