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Simplifying 5(x + -2) = 3(2c + 3) + 7 Reorder the terms: 5(-2 + x) = 3(2c + 3) + 7 (-2 * 5 + x * 5) = 3(2c + 3) + 7 (-10 + 5x) = 3(2c + 3) + 7 Reorder the terms: -10 + 5x = 3(3 + 2c) + 7 -10 + 5x = (3 * 3 + 2c * 3) + 7 -10 + 5x = (9 + 6c) + 7 Reorder the terms: -10 + 5x = 9 + 7 + 6c Combine like terms: 9 + 7 = 16 -10 + 5x = 16 + 6c Solving -10 + 5x = 16 + 6c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5x = 16 + 10 + 6c Combine like terms: -10 + 10 = 0 0 + 5x = 16 + 10 + 6c 5x = 16 + 10 + 6c Combine like terms: 16 + 10 = 26 5x = 26 + 6c Divide each side by '5'. x = 5.2 + 1.2c Simplifying x = 5.2 + 1.2c
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