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Simplifying 5(3x + 2) + 5(3x + -8) = 120 Reorder the terms: 5(2 + 3x) + 5(3x + -8) = 120 (2 * 5 + 3x * 5) + 5(3x + -8) = 120 (10 + 15x) + 5(3x + -8) = 120 Reorder the terms: 10 + 15x + 5(-8 + 3x) = 120 10 + 15x + (-8 * 5 + 3x * 5) = 120 10 + 15x + (-40 + 15x) = 120 Reorder the terms: 10 + -40 + 15x + 15x = 120 Combine like terms: 10 + -40 = -30 -30 + 15x + 15x = 120 Combine like terms: 15x + 15x = 30x -30 + 30x = 120 Solving -30 + 30x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 30x = 120 + 30 Combine like terms: -30 + 30 = 0 0 + 30x = 120 + 30 30x = 120 + 30 Combine like terms: 120 + 30 = 150 30x = 150 Divide each side by '30'. x = 5 Simplifying x = 5
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