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Simplifying 4x + 2x + 78 = x + 120 Reorder the terms: 78 + 4x + 2x = x + 120 Combine like terms: 4x + 2x = 6x 78 + 6x = x + 120 Reorder the terms: 78 + 6x = 120 + x Solving 78 + 6x = 120 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 78 + 6x + -1x = 120 + x + -1x Combine like terms: 6x + -1x = 5x 78 + 5x = 120 + x + -1x Combine like terms: x + -1x = 0 78 + 5x = 120 + 0 78 + 5x = 120 Add '-78' to each side of the equation. 78 + -78 + 5x = 120 + -78 Combine like terms: 78 + -78 = 0 0 + 5x = 120 + -78 5x = 120 + -78 Combine like terms: 120 + -78 = 42 5x = 42 Divide each side by '5'. x = 8.4 Simplifying x = 8.4
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