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Simplifying 4(2c + 8) = 5(2x + -7) Reorder the terms: 4(8 + 2c) = 5(2x + -7) (8 * 4 + 2c * 4) = 5(2x + -7) (32 + 8c) = 5(2x + -7) Reorder the terms: 32 + 8c = 5(-7 + 2x) 32 + 8c = (-7 * 5 + 2x * 5) 32 + 8c = (-35 + 10x) Solving 32 + 8c = -35 + 10x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 8c = -35 + -32 + 10x Combine like terms: 32 + -32 = 0 0 + 8c = -35 + -32 + 10x 8c = -35 + -32 + 10x Combine like terms: -35 + -32 = -67 8c = -67 + 10x Divide each side by '8'. c = -8.375 + 1.25x Simplifying c = -8.375 + 1.25x
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