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Simplifying 6(2c + -5) + 14(2x + 5) = 0 Reorder the terms: 6(-5 + 2c) + 14(2x + 5) = 0 (-5 * 6 + 2c * 6) + 14(2x + 5) = 0 (-30 + 12c) + 14(2x + 5) = 0 Reorder the terms: -30 + 12c + 14(5 + 2x) = 0 -30 + 12c + (5 * 14 + 2x * 14) = 0 -30 + 12c + (70 + 28x) = 0 Reorder the terms: -30 + 70 + 12c + 28x = 0 Combine like terms: -30 + 70 = 40 40 + 12c + 28x = 0 Solving 40 + 12c + 28x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 12c + -40 + 28x = 0 + -40 Reorder the terms: 40 + -40 + 12c + 28x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 12c + 28x = 0 + -40 12c + 28x = 0 + -40 Combine like terms: 0 + -40 = -40 12c + 28x = -40 Add '-28x' to each side of the equation. 12c + 28x + -28x = -40 + -28x Combine like terms: 28x + -28x = 0 12c + 0 = -40 + -28x 12c = -40 + -28x Divide each side by '12'. c = -3.333333333 + -2.333333333x Simplifying c = -3.333333333 + -2.333333333x
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