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Simplifying 38x + -1 + 54x + -1 + 51x + -2 + 78 = 360 Reorder the terms: -1 + -1 + -2 + 78 + 38x + 54x + 51x = 360 Combine like terms: -1 + -1 = -2 -2 + -2 + 78 + 38x + 54x + 51x = 360 Combine like terms: -2 + -2 = -4 -4 + 78 + 38x + 54x + 51x = 360 Combine like terms: -4 + 78 = 74 74 + 38x + 54x + 51x = 360 Combine like terms: 38x + 54x = 92x 74 + 92x + 51x = 360 Combine like terms: 92x + 51x = 143x 74 + 143x = 360 Solving 74 + 143x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 143x = 360 + -74 Combine like terms: 74 + -74 = 0 0 + 143x = 360 + -74 143x = 360 + -74 Combine like terms: 360 + -74 = 286 143x = 286 Divide each side by '143'. x = 2 Simplifying x = 2
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