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Simplifying 10 + 4(c + 1) = 3x + 9 Reorder the terms: 10 + 4(1 + c) = 3x + 9 10 + (1 * 4 + c * 4) = 3x + 9 10 + (4 + 4c) = 3x + 9 Combine like terms: 10 + 4 = 14 14 + 4c = 3x + 9 Reorder the terms: 14 + 4c = 9 + 3x Solving 14 + 4c = 9 + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4c = 9 + -14 + 3x Combine like terms: 14 + -14 = 0 0 + 4c = 9 + -14 + 3x 4c = 9 + -14 + 3x Combine like terms: 9 + -14 = -5 4c = -5 + 3x Divide each side by '4'. c = -1.25 + 0.75x Simplifying c = -1.25 + 0.75x
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