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Simplifying 4c + 5 = 63 + -2(x + 8) Reorder the terms: 5 + 4c = 63 + -2(x + 8) Reorder the terms: 5 + 4c = 63 + -2(8 + x) 5 + 4c = 63 + (8 * -2 + x * -2) 5 + 4c = 63 + (-16 + -2x) Combine like terms: 63 + -16 = 47 5 + 4c = 47 + -2x Solving 5 + 4c = 47 + -2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4c = 47 + -5 + -2x Combine like terms: 5 + -5 = 0 0 + 4c = 47 + -5 + -2x 4c = 47 + -5 + -2x Combine like terms: 47 + -5 = 42 4c = 42 + -2x Divide each side by '4'. c = 10.5 + -0.5x Simplifying c = 10.5 + -0.5x
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