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Simplifying 10(x + -5) = 9(x + -5) Reorder the terms: 10(-5 + x) = 9(x + -5) (-5 * 10 + x * 10) = 9(x + -5) (-50 + 10x) = 9(x + -5) Reorder the terms: -50 + 10x = 9(-5 + x) -50 + 10x = (-5 * 9 + x * 9) -50 + 10x = (-45 + 9x) Solving -50 + 10x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -50 + 10x + -9x = -45 + 9x + -9x Combine like terms: 10x + -9x = 1x -50 + 1x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -50 + 1x = -45 + 0 -50 + 1x = -45 Add '50' to each side of the equation. -50 + 50 + 1x = -45 + 50 Combine like terms: -50 + 50 = 0 0 + 1x = -45 + 50 1x = -45 + 50 Combine like terms: -45 + 50 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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