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Simplifying 9(2x + -3) + -1(x + -7) = 41 Reorder the terms: 9(-3 + 2x) + -1(x + -7) = 41 (-3 * 9 + 2x * 9) + -1(x + -7) = 41 (-27 + 18x) + -1(x + -7) = 41 Reorder the terms: -27 + 18x + -1(-7 + x) = 41 -27 + 18x + (-7 * -1 + x * -1) = 41 -27 + 18x + (7 + -1x) = 41 Reorder the terms: -27 + 7 + 18x + -1x = 41 Combine like terms: -27 + 7 = -20 -20 + 18x + -1x = 41 Combine like terms: 18x + -1x = 17x -20 + 17x = 41 Solving -20 + 17x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 17x = 41 + 20 Combine like terms: -20 + 20 = 0 0 + 17x = 41 + 20 17x = 41 + 20 Combine like terms: 41 + 20 = 61 17x = 61 Divide each side by '17'. x = 3.588235294 Simplifying x = 3.588235294
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