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Simplifying 2(c + 2) + 6 = 5(x + -5) Reorder the terms: 2(2 + c) + 6 = 5(x + -5) (2 * 2 + c * 2) + 6 = 5(x + -5) (4 + 2c) + 6 = 5(x + -5) Reorder the terms: 4 + 6 + 2c = 5(x + -5) Combine like terms: 4 + 6 = 10 10 + 2c = 5(x + -5) Reorder the terms: 10 + 2c = 5(-5 + x) 10 + 2c = (-5 * 5 + x * 5) 10 + 2c = (-25 + 5x) Solving 10 + 2c = -25 + 5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2c = -25 + -10 + 5x Combine like terms: 10 + -10 = 0 0 + 2c = -25 + -10 + 5x 2c = -25 + -10 + 5x Combine like terms: -25 + -10 = -35 2c = -35 + 5x Divide each side by '2'. c = -17.5 + 2.5x Simplifying c = -17.5 + 2.5x
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