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Simplifying 5(2x + -1) + 3(4 + -9x) = 0 Reorder the terms: 5(-1 + 2x) + 3(4 + -9x) = 0 (-1 * 5 + 2x * 5) + 3(4 + -9x) = 0 (-5 + 10x) + 3(4 + -9x) = 0 -5 + 10x + (4 * 3 + -9x * 3) = 0 -5 + 10x + (12 + -27x) = 0 Reorder the terms: -5 + 12 + 10x + -27x = 0 Combine like terms: -5 + 12 = 7 7 + 10x + -27x = 0 Combine like terms: 10x + -27x = -17x 7 + -17x = 0 Solving 7 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -17x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -17x = 0 + -7 -17x = 0 + -7 Combine like terms: 0 + -7 = -7 -17x = -7 Divide each side by '-17'. x = 0.4117647059 Simplifying x = 0.4117647059
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