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Simplifying 3(2x + 3) + 2(4x + 1) = 8x + 17 Reorder the terms: 3(3 + 2x) + 2(4x + 1) = 8x + 17 (3 * 3 + 2x * 3) + 2(4x + 1) = 8x + 17 (9 + 6x) + 2(4x + 1) = 8x + 17 Reorder the terms: 9 + 6x + 2(1 + 4x) = 8x + 17 9 + 6x + (1 * 2 + 4x * 2) = 8x + 17 9 + 6x + (2 + 8x) = 8x + 17 Reorder the terms: 9 + 2 + 6x + 8x = 8x + 17 Combine like terms: 9 + 2 = 11 11 + 6x + 8x = 8x + 17 Combine like terms: 6x + 8x = 14x 11 + 14x = 8x + 17 Reorder the terms: 11 + 14x = 17 + 8x Solving 11 + 14x = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11 + 14x + -8x = 17 + 8x + -8x Combine like terms: 14x + -8x = 6x 11 + 6x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + 6x = 17 + 0 11 + 6x = 17 Add '-11' to each side of the equation. 11 + -11 + 6x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 17 + -11 6x = 17 + -11 Combine like terms: 17 + -11 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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