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Simplifying 5x + 2(-8x + 14) = 17 Reorder the terms: 5x + 2(14 + -8x) = 17 5x + (14 * 2 + -8x * 2) = 17 5x + (28 + -16x) = 17 Reorder the terms: 28 + 5x + -16x = 17 Combine like terms: 5x + -16x = -11x 28 + -11x = 17 Solving 28 + -11x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -11x = 17 + -28 Combine like terms: 28 + -28 = 0 0 + -11x = 17 + -28 -11x = 17 + -28 Combine like terms: 17 + -28 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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