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Simplifying -3(4x + 3) + -1(5x + 2) = 0 Reorder the terms: -3(3 + 4x) + -1(5x + 2) = 0 (3 * -3 + 4x * -3) + -1(5x + 2) = 0 (-9 + -12x) + -1(5x + 2) = 0 Reorder the terms: -9 + -12x + -1(2 + 5x) = 0 -9 + -12x + (2 * -1 + 5x * -1) = 0 -9 + -12x + (-2 + -5x) = 0 Reorder the terms: -9 + -2 + -12x + -5x = 0 Combine like terms: -9 + -2 = -11 -11 + -12x + -5x = 0 Combine like terms: -12x + -5x = -17x -11 + -17x = 0 Solving -11 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -17x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -17x = 0 + 11 -17x = 0 + 11 Combine like terms: 0 + 11 = 11 -17x = 11 Divide each side by '-17'. x = -0.6470588235 Simplifying x = -0.6470588235
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