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Simplifying 4x + -120 = 100 + -7x Reorder the terms: -120 + 4x = 100 + -7x Solving -120 + 4x = 100 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -120 + 4x + 7x = 100 + -7x + 7x Combine like terms: 4x + 7x = 11x -120 + 11x = 100 + -7x + 7x Combine like terms: -7x + 7x = 0 -120 + 11x = 100 + 0 -120 + 11x = 100 Add '120' to each side of the equation. -120 + 120 + 11x = 100 + 120 Combine like terms: -120 + 120 = 0 0 + 11x = 100 + 120 11x = 100 + 120 Combine like terms: 100 + 120 = 220 11x = 220 Divide each side by '11'. x = 20 Simplifying x = 20
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