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Simplifying 5(3x + 4) = 4(5x + -10) Reorder the terms: 5(4 + 3x) = 4(5x + -10) (4 * 5 + 3x * 5) = 4(5x + -10) (20 + 15x) = 4(5x + -10) Reorder the terms: 20 + 15x = 4(-10 + 5x) 20 + 15x = (-10 * 4 + 5x * 4) 20 + 15x = (-40 + 20x) Solving 20 + 15x = -40 + 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 = -40 + 20x + -20x Combine like terms: 15x + -20x = -5x 20 + -5x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 20 + -5x = -40 + 0 20 + -5x = -40 Add '-20' to each side of the equation. 20 + -20 + -5x = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -40 + -20 -5x = -40 + -20 Combine like terms: -40 + -20 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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