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Simplifying 6c + -2(x + -3) = 4(x + 1) + 4 Reorder the terms: 6c + -2(-3 + x) = 4(x + 1) + 4 6c + (-3 * -2 + x * -2) = 4(x + 1) + 4 6c + (6 + -2x) = 4(x + 1) + 4 Reorder the terms: 6 + 6c + -2x = 4(x + 1) + 4 Reorder the terms: 6 + 6c + -2x = 4(1 + x) + 4 6 + 6c + -2x = (1 * 4 + x * 4) + 4 6 + 6c + -2x = (4 + 4x) + 4 Reorder the terms: 6 + 6c + -2x = 4 + 4 + 4x Combine like terms: 4 + 4 = 8 6 + 6c + -2x = 8 + 4x Solving 6 + 6c + -2x = 8 + 4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 6c + -6 + -2x = 8 + -6 + 4x Reorder the terms: 6 + -6 + 6c + -2x = 8 + -6 + 4x Combine like terms: 6 + -6 = 0 0 + 6c + -2x = 8 + -6 + 4x 6c + -2x = 8 + -6 + 4x Combine like terms: 8 + -6 = 2 6c + -2x = 2 + 4x Add '2x' to each side of the equation. 6c + -2x + 2x = 2 + 4x + 2x Combine like terms: -2x + 2x = 0 6c + 0 = 2 + 4x + 2x 6c = 2 + 4x + 2x Combine like terms: 4x + 2x = 6x 6c = 2 + 6x Divide each side by '6'. c = 0.3333333333 + x Simplifying c = 0.3333333333 + x
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