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Simplifying 5(3x + -9) = 20x + -10 Reorder the terms: 5(-9 + 3x) = 20x + -10 (-9 * 5 + 3x * 5) = 20x + -10 (-45 + 15x) = 20x + -10 Reorder the terms: -45 + 15x = -10 + 20x Solving -45 + 15x = -10 + 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. -45 + 15x + -20x = -10 + 20x + -20x Combine like terms: 15x + -20x = -5x -45 + -5x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -45 + -5x = -10 + 0 -45 + -5x = -10 Add '45' to each side of the equation. -45 + 45 + -5x = -10 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = -10 + 45 -5x = -10 + 45 Combine like terms: -10 + 45 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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