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Simplifying 4(c + 10) = 3(x + 15) Reorder the terms: 4(10 + c) = 3(x + 15) (10 * 4 + c * 4) = 3(x + 15) (40 + 4c) = 3(x + 15) Reorder the terms: 40 + 4c = 3(15 + x) 40 + 4c = (15 * 3 + x * 3) 40 + 4c = (45 + 3x) Solving 40 + 4c = 45 + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 4c = 45 + -40 + 3x Combine like terms: 40 + -40 = 0 0 + 4c = 45 + -40 + 3x 4c = 45 + -40 + 3x Combine like terms: 45 + -40 = 5 4c = 5 + 3x Divide each side by '4'. c = 1.25 + 0.75x Simplifying c = 1.25 + 0.75x
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