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Simplifying 6x + 40 = 120 + -4x Reorder the terms: 40 + 6x = 120 + -4x Solving 40 + 6x = 120 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 40 + 6x + 4x = 120 + -4x + 4x Combine like terms: 6x + 4x = 10x 40 + 10x = 120 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + 10x = 120 + 0 40 + 10x = 120 Add '-40' to each side of the equation. 40 + -40 + 10x = 120 + -40 Combine like terms: 40 + -40 = 0 0 + 10x = 120 + -40 10x = 120 + -40 Combine like terms: 120 + -40 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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