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Simplifying 12x + -1184 = 7x + 1976 Reorder the terms: -1184 + 12x = 7x + 1976 Reorder the terms: -1184 + 12x = 1976 + 7x Solving -1184 + 12x = 1976 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1184 + 12x + -7x = 1976 + 7x + -7x Combine like terms: 12x + -7x = 5x -1184 + 5x = 1976 + 7x + -7x Combine like terms: 7x + -7x = 0 -1184 + 5x = 1976 + 0 -1184 + 5x = 1976 Add '1184' to each side of the equation. -1184 + 1184 + 5x = 1976 + 1184 Combine like terms: -1184 + 1184 = 0 0 + 5x = 1976 + 1184 5x = 1976 + 1184 Combine like terms: 1976 + 1184 = 3160 5x = 3160 Divide each side by '5'. x = 632 Simplifying x = 632
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