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Simplifying 5x + -3(2x + -9) = 17 Reorder the terms: 5x + -3(-9 + 2x) = 17 5x + (-9 * -3 + 2x * -3) = 17 5x + (27 + -6x) = 17 Reorder the terms: 27 + 5x + -6x = 17 Combine like terms: 5x + -6x = -1x 27 + -1x = 17 Solving 27 + -1x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x = 17 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 17 + -27 -1x = 17 + -27 Combine like terms: 17 + -27 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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