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Simplifying 9(x + -5) = 5(2x + -1) Reorder the terms: 9(-5 + x) = 5(2x + -1) (-5 * 9 + x * 9) = 5(2x + -1) (-45 + 9x) = 5(2x + -1) Reorder the terms: -45 + 9x = 5(-1 + 2x) -45 + 9x = (-1 * 5 + 2x * 5) -45 + 9x = (-5 + 10x) Solving -45 + 9x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -45 + 9x + -10x = -5 + 10x + -10x Combine like terms: 9x + -10x = -1x -45 + -1x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -45 + -1x = -5 + 0 -45 + -1x = -5 Add '45' to each side of the equation. -45 + 45 + -1x = -5 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = -5 + 45 -1x = -5 + 45 Combine like terms: -5 + 45 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40
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