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Simplifying 5(x + -2) + 13 = 2x + 9 Reorder the terms: 5(-2 + x) + 13 = 2x + 9 (-2 * 5 + x * 5) + 13 = 2x + 9 (-10 + 5x) + 13 = 2x + 9 Reorder the terms: -10 + 13 + 5x = 2x + 9 Combine like terms: -10 + 13 = 3 3 + 5x = 2x + 9 Reorder the terms: 3 + 5x = 9 + 2x Solving 3 + 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. 3 + 5x + -2x = 9 + 2x + -2x Combine like terms: 5x + -2x = 3x 3 + 3x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 3x = 9 + 0 3 + 3x = 9 Add '-3' to each side of the equation. 3 + -3 + 3x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 9 + -3 3x = 9 + -3 Combine like terms: 9 + -3 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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