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Simplifying 6(x + 8) = 17(2x + -2) Reorder the terms: 6(8 + x) = 17(2x + -2) (8 * 6 + x * 6) = 17(2x + -2) (48 + 6x) = 17(2x + -2) Reorder the terms: 48 + 6x = 17(-2 + 2x) 48 + 6x = (-2 * 17 + 2x * 17) 48 + 6x = (-34 + 34x) Solving 48 + 6x = -34 + 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. 48 + 6x + -34x = -34 + 34x + -34x Combine like terms: 6x + -34x = -28x 48 + -28x = -34 + 34x + -34x Combine like terms: 34x + -34x = 0 48 + -28x = -34 + 0 48 + -28x = -34 Add '-48' to each side of the equation. 48 + -48 + -28x = -34 + -48 Combine like terms: 48 + -48 = 0 0 + -28x = -34 + -48 -28x = -34 + -48 Combine like terms: -34 + -48 = -82 -28x = -82 Divide each side by '-28'. x = 2.928571429 Simplifying x = 2.928571429
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