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Simplifying 4(c + 1) = -2(x + -26) Reorder the terms: 4(1 + c) = -2(x + -26) (1 * 4 + c * 4) = -2(x + -26) (4 + 4c) = -2(x + -26) Reorder the terms: 4 + 4c = -2(-26 + x) 4 + 4c = (-26 * -2 + x * -2) 4 + 4c = (52 + -2x) Solving 4 + 4c = 52 + -2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4c = 52 + -4 + -2x Combine like terms: 4 + -4 = 0 0 + 4c = 52 + -4 + -2x 4c = 52 + -4 + -2x Combine like terms: 52 + -4 = 48 4c = 48 + -2x Divide each side by '4'. c = 12 + -0.5x Simplifying c = 12 + -0.5x
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