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Simplifying 8(4 + -1c) = 7x + 2 (4 * 8 + -1c * 8) = 7x + 2 (32 + -8c) = 7x + 2 Reorder the terms: 32 + -8c = 2 + 7x Solving 32 + -8c = 2 + 7x 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 = 2 + -32 + 7x Combine like terms: 32 + -32 = 0 0 + -8c = 2 + -32 + 7x -8c = 2 + -32 + 7x Combine like terms: 2 + -32 = -30 -8c = -30 + 7x Divide each side by '-8'. c = 3.75 + -0.875x Simplifying c = 3.75 + -0.875x
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