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Simplifying 7 + 2(x + -5) = 9 + -5(x + -8) Reorder the terms: 7 + 2(-5 + x) = 9 + -5(x + -8) 7 + (-5 * 2 + x * 2) = 9 + -5(x + -8) 7 + (-10 + 2x) = 9 + -5(x + -8) Combine like terms: 7 + -10 = -3 -3 + 2x = 9 + -5(x + -8) Reorder the terms: -3 + 2x = 9 + -5(-8 + x) -3 + 2x = 9 + (-8 * -5 + x * -5) -3 + 2x = 9 + (40 + -5x) Combine like terms: 9 + 40 = 49 -3 + 2x = 49 + -5x Solving -3 + 2x = 49 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + 2x + 5x = 49 + -5x + 5x Combine like terms: 2x + 5x = 7x -3 + 7x = 49 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 7x = 49 + 0 -3 + 7x = 49 Add '3' to each side of the equation. -3 + 3 + 7x = 49 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 49 + 3 7x = 49 + 3 Combine like terms: 49 + 3 = 52 7x = 52 Divide each side by '7'. x = 7.428571429 Simplifying x = 7.428571429
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