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Simplifying 5(2x + 3) + -4(2x + 1) = 17 Reorder the terms: 5(3 + 2x) + -4(2x + 1) = 17 (3 * 5 + 2x * 5) + -4(2x + 1) = 17 (15 + 10x) + -4(2x + 1) = 17 Reorder the terms: 15 + 10x + -4(1 + 2x) = 17 15 + 10x + (1 * -4 + 2x * -4) = 17 15 + 10x + (-4 + -8x) = 17 Reorder the terms: 15 + -4 + 10x + -8x = 17 Combine like terms: 15 + -4 = 11 11 + 10x + -8x = 17 Combine like terms: 10x + -8x = 2x 11 + 2x = 17 Solving 11 + 2x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 17 + -11 2x = 17 + -11 Combine like terms: 17 + -11 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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