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Simplifying 5(3x + -4) = 10(2x + -5) Reorder the terms: 5(-4 + 3x) = 10(2x + -5) (-4 * 5 + 3x * 5) = 10(2x + -5) (-20 + 15x) = 10(2x + -5) Reorder the terms: -20 + 15x = 10(-5 + 2x) -20 + 15x = (-5 * 10 + 2x * 10) -20 + 15x = (-50 + 20x) Solving -20 + 15x = -50 + 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 = -50 + 20x + -20x Combine like terms: 15x + -20x = -5x -20 + -5x = -50 + 20x + -20x Combine like terms: 20x + -20x = 0 -20 + -5x = -50 + 0 -20 + -5x = -50 Add '20' to each side of the equation. -20 + 20 + -5x = -50 + 20 Combine like terms: -20 + 20 = 0 0 + -5x = -50 + 20 -5x = -50 + 20 Combine like terms: -50 + 20 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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