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Simplifying 75x + 40x + -30 = -12x + 120x Reorder the terms: -30 + 75x + 40x = -12x + 120x Combine like terms: 75x + 40x = 115x -30 + 115x = -12x + 120x Combine like terms: -12x + 120x = 108x -30 + 115x = 108x Solving -30 + 115x = 108x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108x' to each side of the equation. -30 + 115x + -108x = 108x + -108x Combine like terms: 115x + -108x = 7x -30 + 7x = 108x + -108x Combine like terms: 108x + -108x = 0 -30 + 7x = 0 Add '30' to each side of the equation. -30 + 30 + 7x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 7x = 0 + 30 7x = 0 + 30 Combine like terms: 0 + 30 = 30 7x = 30 Divide each side by '7'. x = 4.285714286 Simplifying x = 4.285714286
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