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Simplifying 5x + 4x = 9(x + -5) + -5(4 + -1x) Combine like terms: 5x + 4x = 9x 9x = 9(x + -5) + -5(4 + -1x) Reorder the terms: 9x = 9(-5 + x) + -5(4 + -1x) 9x = (-5 * 9 + x * 9) + -5(4 + -1x) 9x = (-45 + 9x) + -5(4 + -1x) 9x = -45 + 9x + (4 * -5 + -1x * -5) 9x = -45 + 9x + (-20 + 5x) Reorder the terms: 9x = -45 + -20 + 9x + 5x Combine like terms: -45 + -20 = -65 9x = -65 + 9x + 5x Combine like terms: 9x + 5x = 14x 9x = -65 + 14x Solving 9x = -65 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 9x + -14x = -65 + 14x + -14x Combine like terms: 9x + -14x = -5x -5x = -65 + 14x + -14x Combine like terms: 14x + -14x = 0 -5x = -65 + 0 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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