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Simplifying 2(c + 2) = 5(x + 1) + -7 Reorder the terms: 2(2 + c) = 5(x + 1) + -7 (2 * 2 + c * 2) = 5(x + 1) + -7 (4 + 2c) = 5(x + 1) + -7 Reorder the terms: 4 + 2c = 5(1 + x) + -7 4 + 2c = (1 * 5 + x * 5) + -7 4 + 2c = (5 + 5x) + -7 Reorder the terms: 4 + 2c = 5 + -7 + 5x Combine like terms: 5 + -7 = -2 4 + 2c = -2 + 5x Solving 4 + 2c = -2 + 5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2c = -2 + -4 + 5x Combine like terms: 4 + -4 = 0 0 + 2c = -2 + -4 + 5x 2c = -2 + -4 + 5x Combine like terms: -2 + -4 = -6 2c = -6 + 5x Divide each side by '2'. c = -3 + 2.5x Simplifying c = -3 + 2.5x
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