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Simplifying 5(10x + -4) + -1(12 + -9x) = 0 Reorder the terms: 5(-4 + 10x) + -1(12 + -9x) = 0 (-4 * 5 + 10x * 5) + -1(12 + -9x) = 0 (-20 + 50x) + -1(12 + -9x) = 0 -20 + 50x + (12 * -1 + -9x * -1) = 0 -20 + 50x + (-12 + 9x) = 0 Reorder the terms: -20 + -12 + 50x + 9x = 0 Combine like terms: -20 + -12 = -32 -32 + 50x + 9x = 0 Combine like terms: 50x + 9x = 59x -32 + 59x = 0 Solving -32 + 59x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 59x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 59x = 0 + 32 59x = 0 + 32 Combine like terms: 0 + 32 = 32 59x = 32 Divide each side by '59'. x = 0.5423728814 Simplifying x = 0.5423728814
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