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Simplifying 4(3x + -10) = 5(2x + 4) Reorder the terms: 4(-10 + 3x) = 5(2x + 4) (-10 * 4 + 3x * 4) = 5(2x + 4) (-40 + 12x) = 5(2x + 4) Reorder the terms: -40 + 12x = 5(4 + 2x) -40 + 12x = (4 * 5 + 2x * 5) -40 + 12x = (20 + 10x) Solving -40 + 12x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -40 + 12x + -10x = 20 + 10x + -10x Combine like terms: 12x + -10x = 2x -40 + 2x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -40 + 2x = 20 + 0 -40 + 2x = 20 Add '40' to each side of the equation. -40 + 40 + 2x = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = 20 + 40 2x = 20 + 40 Combine like terms: 20 + 40 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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