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Simplifying 5 + 2x = 3(x + 3) + -2(x + -3) Reorder the terms: 5 + 2x = 3(3 + x) + -2(x + -3) 5 + 2x = (3 * 3 + x * 3) + -2(x + -3) 5 + 2x = (9 + 3x) + -2(x + -3) Reorder the terms: 5 + 2x = 9 + 3x + -2(-3 + x) 5 + 2x = 9 + 3x + (-3 * -2 + x * -2) 5 + 2x = 9 + 3x + (6 + -2x) Reorder the terms: 5 + 2x = 9 + 6 + 3x + -2x Combine like terms: 9 + 6 = 15 5 + 2x = 15 + 3x + -2x Combine like terms: 3x + -2x = 1x 5 + 2x = 15 + 1x Solving 5 + 2x = 15 + 1x 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. 5 + 2x + -1x = 15 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 15 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = 15 + 0 5 + 1x = 15 Add '-5' to each side of the equation. 5 + -5 + 1x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 15 + -5 1x = 15 + -5 Combine like terms: 15 + -5 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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