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Simplifying 5(4x + -6) + -3(x + 1) + -20x = 0 Reorder the terms: 5(-6 + 4x) + -3(x + 1) + -20x = 0 (-6 * 5 + 4x * 5) + -3(x + 1) + -20x = 0 (-30 + 20x) + -3(x + 1) + -20x = 0 Reorder the terms: -30 + 20x + -3(1 + x) + -20x = 0 -30 + 20x + (1 * -3 + x * -3) + -20x = 0 -30 + 20x + (-3 + -3x) + -20x = 0 Reorder the terms: -30 + -3 + 20x + -3x + -20x = 0 Combine like terms: -30 + -3 = -33 -33 + 20x + -3x + -20x = 0 Combine like terms: 20x + -3x = 17x -33 + 17x + -20x = 0 Combine like terms: 17x + -20x = -3x -33 + -3x = 0 Solving -33 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -3x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -3x = 0 + 33 -3x = 0 + 33 Combine like terms: 0 + 33 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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