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Simplifying -4(5x + 2) + 3(x + -3) = 0 Reorder the terms: -4(2 + 5x) + 3(x + -3) = 0 (2 * -4 + 5x * -4) + 3(x + -3) = 0 (-8 + -20x) + 3(x + -3) = 0 Reorder the terms: -8 + -20x + 3(-3 + x) = 0 -8 + -20x + (-3 * 3 + x * 3) = 0 -8 + -20x + (-9 + 3x) = 0 Reorder the terms: -8 + -9 + -20x + 3x = 0 Combine like terms: -8 + -9 = -17 -17 + -20x + 3x = 0 Combine like terms: -20x + 3x = -17x -17 + -17x = 0 Solving -17 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -17x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -17x = 0 + 17 -17x = 0 + 17 Combine like terms: 0 + 17 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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