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Simplifying 3(4x + -40) = 2(x + 20) Reorder the terms: 3(-40 + 4x) = 2(x + 20) (-40 * 3 + 4x * 3) = 2(x + 20) (-120 + 12x) = 2(x + 20) Reorder the terms: -120 + 12x = 2(20 + x) -120 + 12x = (20 * 2 + x * 2) -120 + 12x = (40 + 2x) Solving -120 + 12x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -120 + 12x + -2x = 40 + 2x + -2x Combine like terms: 12x + -2x = 10x -120 + 10x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 -120 + 10x = 40 + 0 -120 + 10x = 40 Add '120' to each side of the equation. -120 + 120 + 10x = 40 + 120 Combine like terms: -120 + 120 = 0 0 + 10x = 40 + 120 10x = 40 + 120 Combine like terms: 40 + 120 = 160 10x = 160 Divide each side by '10'. x = 16 Simplifying x = 16
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