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Simplifying -9(3x + 1) + 10(x + -3) = 0 Reorder the terms: -9(1 + 3x) + 10(x + -3) = 0 (1 * -9 + 3x * -9) + 10(x + -3) = 0 (-9 + -27x) + 10(x + -3) = 0 Reorder the terms: -9 + -27x + 10(-3 + x) = 0 -9 + -27x + (-3 * 10 + x * 10) = 0 -9 + -27x + (-30 + 10x) = 0 Reorder the terms: -9 + -30 + -27x + 10x = 0 Combine like terms: -9 + -30 = -39 -39 + -27x + 10x = 0 Combine like terms: -27x + 10x = -17x -39 + -17x = 0 Solving -39 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -17x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -17x = 0 + 39 -17x = 0 + 39 Combine like terms: 0 + 39 = 39 -17x = 39 Divide each side by '-17'. x = -2.294117647 Simplifying x = -2.294117647
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