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Simplifying 5(3x + -7) + -3(x + 2) + -20x = 0 Reorder the terms: 5(-7 + 3x) + -3(x + 2) + -20x = 0 (-7 * 5 + 3x * 5) + -3(x + 2) + -20x = 0 (-35 + 15x) + -3(x + 2) + -20x = 0 Reorder the terms: -35 + 15x + -3(2 + x) + -20x = 0 -35 + 15x + (2 * -3 + x * -3) + -20x = 0 -35 + 15x + (-6 + -3x) + -20x = 0 Reorder the terms: -35 + -6 + 15x + -3x + -20x = 0 Combine like terms: -35 + -6 = -41 -41 + 15x + -3x + -20x = 0 Combine like terms: 15x + -3x = 12x -41 + 12x + -20x = 0 Combine like terms: 12x + -20x = -8x -41 + -8x = 0 Solving -41 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -8x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -8x = 0 + 41 -8x = 0 + 41 Combine like terms: 0 + 41 = 41 -8x = 41 Divide each side by '-8'. x = -5.125 Simplifying x = -5.125
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