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Simplifying 3(3x + -2) + 3(5 + -1x) = 17 Reorder the terms: 3(-2 + 3x) + 3(5 + -1x) = 17 (-2 * 3 + 3x * 3) + 3(5 + -1x) = 17 (-6 + 9x) + 3(5 + -1x) = 17 -6 + 9x + (5 * 3 + -1x * 3) = 17 -6 + 9x + (15 + -3x) = 17 Reorder the terms: -6 + 15 + 9x + -3x = 17 Combine like terms: -6 + 15 = 9 9 + 9x + -3x = 17 Combine like terms: 9x + -3x = 6x 9 + 6x = 17 Solving 9 + 6x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 17 + -9 6x = 17 + -9 Combine like terms: 17 + -9 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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