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Simplifying 15 + 2(3x + -3) = 17(2x + -8) Reorder the terms: 15 + 2(-3 + 3x) = 17(2x + -8) 15 + (-3 * 2 + 3x * 2) = 17(2x + -8) 15 + (-6 + 6x) = 17(2x + -8) Combine like terms: 15 + -6 = 9 9 + 6x = 17(2x + -8) Reorder the terms: 9 + 6x = 17(-8 + 2x) 9 + 6x = (-8 * 17 + 2x * 17) 9 + 6x = (-136 + 34x) Solving 9 + 6x = -136 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 9 + 6x + -34x = -136 + 34x + -34x Combine like terms: 6x + -34x = -28x 9 + -28x = -136 + 34x + -34x Combine like terms: 34x + -34x = 0 9 + -28x = -136 + 0 9 + -28x = -136 Add '-9' to each side of the equation. 9 + -9 + -28x = -136 + -9 Combine like terms: 9 + -9 = 0 0 + -28x = -136 + -9 -28x = -136 + -9 Combine like terms: -136 + -9 = -145 -28x = -145 Divide each side by '-28'. x = 5.178571429 Simplifying x = 5.178571429
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