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Simplifying 5x + 4c + 6d + 24 = 1045 Reorder the terms: 24 + 4c + 6d + 5x = 1045 Solving 24 + 4c + 6d + 5x = 1045 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 4c + 6d + -24 + 5x = 1045 + -24 Reorder the terms: 24 + -24 + 4c + 6d + 5x = 1045 + -24 Combine like terms: 24 + -24 = 0 0 + 4c + 6d + 5x = 1045 + -24 4c + 6d + 5x = 1045 + -24 Combine like terms: 1045 + -24 = 1021 4c + 6d + 5x = 1021 Add '-6d' to each side of the equation. 4c + 6d + -6d + 5x = 1021 + -6d Combine like terms: 6d + -6d = 0 4c + 0 + 5x = 1021 + -6d 4c + 5x = 1021 + -6d Add '-5x' to each side of the equation. 4c + 5x + -5x = 1021 + -6d + -5x Combine like terms: 5x + -5x = 0 4c + 0 = 1021 + -6d + -5x 4c = 1021 + -6d + -5x Divide each side by '4'. c = 255.25 + -1.5d + -1.25x Simplifying c = 255.25 + -1.5d + -1.25x
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