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Simplifying 17(2x + 3) = 15(2x + 3) Reorder the terms: 17(3 + 2x) = 15(2x + 3) (3 * 17 + 2x * 17) = 15(2x + 3) (51 + 34x) = 15(2x + 3) Reorder the terms: 51 + 34x = 15(3 + 2x) 51 + 34x = (3 * 15 + 2x * 15) 51 + 34x = (45 + 30x) Solving 51 + 34x = 45 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 51 + 34x + -30x = 45 + 30x + -30x Combine like terms: 34x + -30x = 4x 51 + 4x = 45 + 30x + -30x Combine like terms: 30x + -30x = 0 51 + 4x = 45 + 0 51 + 4x = 45 Add '-51' to each side of the equation. 51 + -51 + 4x = 45 + -51 Combine like terms: 51 + -51 = 0 0 + 4x = 45 + -51 4x = 45 + -51 Combine like terms: 45 + -51 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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