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Simplifying 3c + -1(x + -3) = 2x + 6 Reorder the terms: 3c + -1(-3 + x) = 2x + 6 3c + (-3 * -1 + x * -1) = 2x + 6 3c + (3 + -1x) = 2x + 6 Reorder the terms: 3 + 3c + -1x = 2x + 6 Reorder the terms: 3 + 3c + -1x = 6 + 2x Solving 3 + 3c + -1x = 6 + 2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3c + -3 + -1x = 6 + -3 + 2x Reorder the terms: 3 + -3 + 3c + -1x = 6 + -3 + 2x Combine like terms: 3 + -3 = 0 0 + 3c + -1x = 6 + -3 + 2x 3c + -1x = 6 + -3 + 2x Combine like terms: 6 + -3 = 3 3c + -1x = 3 + 2x Add 'x' to each side of the equation. 3c + -1x + x = 3 + 2x + x Combine like terms: -1x + x = 0 3c + 0 = 3 + 2x + x 3c = 3 + 2x + x Combine like terms: 2x + x = 3x 3c = 3 + 3x Divide each side by '3'. c = 1 + x Simplifying c = 1 + x
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