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Simplifying -5(3x + -4) = -6 + 20x + -9 Reorder the terms: -5(-4 + 3x) = -6 + 20x + -9 (-4 * -5 + 3x * -5) = -6 + 20x + -9 (20 + -15x) = -6 + 20x + -9 Reorder the terms: 20 + -15x = -6 + -9 + 20x Combine like terms: -6 + -9 = -15 20 + -15x = -15 + 20x Solving 20 + -15x = -15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 20 + -15x + -20x = -15 + 20x + -20x Combine like terms: -15x + -20x = -35x 20 + -35x = -15 + 20x + -20x Combine like terms: 20x + -20x = 0 20 + -35x = -15 + 0 20 + -35x = -15 Add '-20' to each side of the equation. 20 + -20 + -35x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -35x = -15 + -20 -35x = -15 + -20 Combine like terms: -15 + -20 = -35 -35x = -35 Divide each side by '-35'. x = 1 Simplifying x = 1
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