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Simplifying x + 10 + 4x + 40 = 10x + -120 Reorder the terms: 10 + 40 + x + 4x = 10x + -120 Combine like terms: 10 + 40 = 50 50 + x + 4x = 10x + -120 Combine like terms: x + 4x = 5x 50 + 5x = 10x + -120 Reorder the terms: 50 + 5x = -120 + 10x Solving 50 + 5x = -120 + 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. 50 + 5x + -10x = -120 + 10x + -10x Combine like terms: 5x + -10x = -5x 50 + -5x = -120 + 10x + -10x Combine like terms: 10x + -10x = 0 50 + -5x = -120 + 0 50 + -5x = -120 Add '-50' to each side of the equation. 50 + -50 + -5x = -120 + -50 Combine like terms: 50 + -50 = 0 0 + -5x = -120 + -50 -5x = -120 + -50 Combine like terms: -120 + -50 = -170 -5x = -170 Divide each side by '-5'. x = 34 Simplifying x = 34
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