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Simplifying 4(c + 2) = 3(x + 1) + 22 Reorder the terms: 4(2 + c) = 3(x + 1) + 22 (2 * 4 + c * 4) = 3(x + 1) + 22 (8 + 4c) = 3(x + 1) + 22 Reorder the terms: 8 + 4c = 3(1 + x) + 22 8 + 4c = (1 * 3 + x * 3) + 22 8 + 4c = (3 + 3x) + 22 Reorder the terms: 8 + 4c = 3 + 22 + 3x Combine like terms: 3 + 22 = 25 8 + 4c = 25 + 3x Solving 8 + 4c = 25 + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4c = 25 + -8 + 3x Combine like terms: 8 + -8 = 0 0 + 4c = 25 + -8 + 3x 4c = 25 + -8 + 3x Combine like terms: 25 + -8 = 17 4c = 17 + 3x Divide each side by '4'. c = 4.25 + 0.75x Simplifying c = 4.25 + 0.75x
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