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Simplifying 4(x + -2) + 3(2c + 4) = 12 Reorder the terms: 4(-2 + x) + 3(2c + 4) = 12 (-2 * 4 + x * 4) + 3(2c + 4) = 12 (-8 + 4x) + 3(2c + 4) = 12 Reorder the terms: -8 + 4x + 3(4 + 2c) = 12 -8 + 4x + (4 * 3 + 2c * 3) = 12 -8 + 4x + (12 + 6c) = 12 Reorder the terms: -8 + 12 + 6c + 4x = 12 Combine like terms: -8 + 12 = 4 4 + 6c + 4x = 12 Solving 4 + 6c + 4x = 12 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 + 6c + -4 + 4x = 12 + -4 Reorder the terms: 4 + -4 + 6c + 4x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 6c + 4x = 12 + -4 6c + 4x = 12 + -4 Combine like terms: 12 + -4 = 8 6c + 4x = 8 Add '-4x' to each side of the equation. 6c + 4x + -4x = 8 + -4x Combine like terms: 4x + -4x = 0 6c + 0 = 8 + -4x 6c = 8 + -4x Divide each side by '6'. c = 1.333333333 + -0.6666666667x Simplifying c = 1.333333333 + -0.6666666667x
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