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Simplifying (3x + 2) + (2x + 5) = x + 17 Reorder the terms: (2 + 3x) + (2x + 5) = x + 17 Remove parenthesis around (2 + 3x) 2 + 3x + (2x + 5) = x + 17 Reorder the terms: 2 + 3x + (5 + 2x) = x + 17 Remove parenthesis around (5 + 2x) 2 + 3x + 5 + 2x = x + 17 Reorder the terms: 2 + 5 + 3x + 2x = x + 17 Combine like terms: 2 + 5 = 7 7 + 3x + 2x = x + 17 Combine like terms: 3x + 2x = 5x 7 + 5x = x + 17 Reorder the terms: 7 + 5x = 17 + x Solving 7 + 5x = 17 + 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. 7 + 5x + -1x = 17 + x + -1x Combine like terms: 5x + -1x = 4x 7 + 4x = 17 + x + -1x Combine like terms: x + -1x = 0 7 + 4x = 17 + 0 7 + 4x = 17 Add '-7' to each side of the equation. 7 + -7 + 4x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 17 + -7 4x = 17 + -7 Combine like terms: 17 + -7 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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