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Simplifying 9(x + 3) + -8(9x + -6) = 17 Reorder the terms: 9(3 + x) + -8(9x + -6) = 17 (3 * 9 + x * 9) + -8(9x + -6) = 17 (27 + 9x) + -8(9x + -6) = 17 Reorder the terms: 27 + 9x + -8(-6 + 9x) = 17 27 + 9x + (-6 * -8 + 9x * -8) = 17 27 + 9x + (48 + -72x) = 17 Reorder the terms: 27 + 48 + 9x + -72x = 17 Combine like terms: 27 + 48 = 75 75 + 9x + -72x = 17 Combine like terms: 9x + -72x = -63x 75 + -63x = 17 Solving 75 + -63x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -63x = 17 + -75 Combine like terms: 75 + -75 = 0 0 + -63x = 17 + -75 -63x = 17 + -75 Combine like terms: 17 + -75 = -58 -63x = -58 Divide each side by '-63'. x = 0.9206349206 Simplifying x = 0.9206349206
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