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Simplifying 13 + 5(x + -5) = 9 + -2x Reorder the terms: 13 + 5(-5 + x) = 9 + -2x 13 + (-5 * 5 + x * 5) = 9 + -2x 13 + (-25 + 5x) = 9 + -2x Combine like terms: 13 + -25 = -12 -12 + 5x = 9 + -2x Solving -12 + 5x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 5x + 2x = 9 + -2x + 2x Combine like terms: 5x + 2x = 7x -12 + 7x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 7x = 9 + 0 -12 + 7x = 9 Add '12' to each side of the equation. -12 + 12 + 7x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 9 + 12 7x = 9 + 12 Combine like terms: 9 + 12 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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