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Simplifying 7x + -30 = 2x + 380 Reorder the terms: -30 + 7x = 2x + 380 Reorder the terms: -30 + 7x = 380 + 2x Solving -30 + 7x = 380 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + 7x + -2x = 380 + 2x + -2x Combine like terms: 7x + -2x = 5x -30 + 5x = 380 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 5x = 380 + 0 -30 + 5x = 380 Add '30' to each side of the equation. -30 + 30 + 5x = 380 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 380 + 30 5x = 380 + 30 Combine like terms: 380 + 30 = 410 5x = 410 Divide each side by '5'. x = 82 Simplifying x = 82
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