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Simplifying 3x = 120 + 10(x + -40) Reorder the terms: 3x = 120 + 10(-40 + x) 3x = 120 + (-40 * 10 + x * 10) 3x = 120 + (-400 + 10x) Combine like terms: 120 + -400 = -280 3x = -280 + 10x Solving 3x = -280 + 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. 3x + -10x = -280 + 10x + -10x Combine like terms: 3x + -10x = -7x -7x = -280 + 10x + -10x Combine like terms: 10x + -10x = 0 -7x = -280 + 0 -7x = -280 Divide each side by '-7'. x = 40 Simplifying x = 40
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