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Simplifying 7 + 9(x + -8) = 10 + -3(x + -5) Reorder the terms: 7 + 9(-8 + x) = 10 + -3(x + -5) 7 + (-8 * 9 + x * 9) = 10 + -3(x + -5) 7 + (-72 + 9x) = 10 + -3(x + -5) Combine like terms: 7 + -72 = -65 -65 + 9x = 10 + -3(x + -5) Reorder the terms: -65 + 9x = 10 + -3(-5 + x) -65 + 9x = 10 + (-5 * -3 + x * -3) -65 + 9x = 10 + (15 + -3x) Combine like terms: 10 + 15 = 25 -65 + 9x = 25 + -3x Solving -65 + 9x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -65 + 9x + 3x = 25 + -3x + 3x Combine like terms: 9x + 3x = 12x -65 + 12x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 -65 + 12x = 25 + 0 -65 + 12x = 25 Add '65' to each side of the equation. -65 + 65 + 12x = 25 + 65 Combine like terms: -65 + 65 = 0 0 + 12x = 25 + 65 12x = 25 + 65 Combine like terms: 25 + 65 = 90 12x = 90 Divide each side by '12'. x = 7.5 Simplifying x = 7.5
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