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Simplifying 3 = 4c + 5 + -2(x + 1) Reorder the terms: 3 = 4c + 5 + -2(1 + x) 3 = 4c + 5 + (1 * -2 + x * -2) 3 = 4c + 5 + (-2 + -2x) Reorder the terms: 3 = 5 + -2 + 4c + -2x Combine like terms: 5 + -2 = 3 3 = 3 + 4c + -2x Add '-3' to each side of the equation. 3 + -3 = 3 + 4c + -3 + -2x Combine like terms: 3 + -3 = 0 0 = 3 + 4c + -3 + -2x Reorder the terms: 0 = 3 + -3 + 4c + -2x Combine like terms: 3 + -3 = 0 0 = 0 + 4c + -2x 0 = 4c + -2x Solving 0 = 4c + -2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 0 + -4c = 4c + -4c + -2x Remove the zero: -4c = 4c + -4c + -2x Combine like terms: 4c + -4c = 0 -4c = 0 + -2x -4c = -2x Divide each side by '-4'. c = 0.5x Simplifying c = 0.5x
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