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Simplifying (2x + 9) + 10 = 5(x + 2) Reorder the terms: (9 + 2x) + 10 = 5(x + 2) Remove parenthesis around (9 + 2x) 9 + 2x + 10 = 5(x + 2) Reorder the terms: 9 + 10 + 2x = 5(x + 2) Combine like terms: 9 + 10 = 19 19 + 2x = 5(x + 2) Reorder the terms: 19 + 2x = 5(2 + x) 19 + 2x = (2 * 5 + x * 5) 19 + 2x = (10 + 5x) Solving 19 + 2x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 19 + 2x + -5x = 10 + 5x + -5x Combine like terms: 2x + -5x = -3x 19 + -3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -3x = 10 + 0 19 + -3x = 10 Add '-19' to each side of the equation. 19 + -19 + -3x = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = 10 + -19 -3x = 10 + -19 Combine like terms: 10 + -19 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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