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Simplifying 13 + -5(x + 2) = 9 + x Reorder the terms: 13 + -5(2 + x) = 9 + x 13 + (2 * -5 + x * -5) = 9 + x 13 + (-10 + -5x) = 9 + x Combine like terms: 13 + -10 = 3 3 + -5x = 9 + x Solving 3 + -5x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + -5x + -1x = 9 + x + -1x Combine like terms: -5x + -1x = -6x 3 + -6x = 9 + x + -1x Combine like terms: x + -1x = 0 3 + -6x = 9 + 0 3 + -6x = 9 Add '-3' to each side of the equation. 3 + -3 + -6x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 9 + -3 -6x = 9 + -3 Combine like terms: 9 + -3 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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