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Simplifying 3x + 10 = 15 + (x + 17) Reorder the terms: 10 + 3x = 15 + (x + 17) Reorder the terms: 10 + 3x = 15 + (17 + x) Remove parenthesis around (17 + x) 10 + 3x = 15 + 17 + x Combine like terms: 15 + 17 = 32 10 + 3x = 32 + x Solving 10 + 3x = 32 + 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. 10 + 3x + -1x = 32 + x + -1x Combine like terms: 3x + -1x = 2x 10 + 2x = 32 + x + -1x Combine like terms: x + -1x = 0 10 + 2x = 32 + 0 10 + 2x = 32 Add '-10' to each side of the equation. 10 + -10 + 2x = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 32 + -10 2x = 32 + -10 Combine like terms: 32 + -10 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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