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Simplifying 17x + 3(9 + -5x) = 3(13 + -1x) + 3x 17x + (9 * 3 + -5x * 3) = 3(13 + -1x) + 3x 17x + (27 + -15x) = 3(13 + -1x) + 3x Reorder the terms: 27 + 17x + -15x = 3(13 + -1x) + 3x Combine like terms: 17x + -15x = 2x 27 + 2x = 3(13 + -1x) + 3x 27 + 2x = (13 * 3 + -1x * 3) + 3x 27 + 2x = (39 + -3x) + 3x Combine like terms: -3x + 3x = 0 27 + 2x = 39 + 0 27 + 2x = 39 Solving 27 + 2x = 39 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 + 2x = 39 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 39 + -27 2x = 39 + -27 Combine like terms: 39 + -27 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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