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Simplifying 2.5(6x + -4) = 10 + 4(1.5 + 0.5c) Reorder the terms: 2.5(-4 + 6x) = 10 + 4(1.5 + 0.5c) (-4 * 2.5 + 6x * 2.5) = 10 + 4(1.5 + 0.5c) (-10 + 15x) = 10 + 4(1.5 + 0.5c) -10 + 15x = 10 + (1.5 * 4 + 0.5c * 4) -10 + 15x = 10 + (6 + 2c) Combine like terms: 10 + 6 = 16 -10 + 15x = 16 + 2c Solving -10 + 15x = 16 + 2c 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 + 15x = 16 + 10 + 2c Combine like terms: -10 + 10 = 0 0 + 15x = 16 + 10 + 2c 15x = 16 + 10 + 2c Combine like terms: 16 + 10 = 26 15x = 26 + 2c Divide each side by '15'. x = 1.733333333 + 0.1333333333c Simplifying x = 1.733333333 + 0.1333333333c
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