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Simplifying 0.5(8c + -12) + -6 = 5x + -14 Reorder the terms: 0.5(-12 + 8c) + -6 = 5x + -14 (-12 * 0.5 + 8c * 0.5) + -6 = 5x + -14 (-6 + 4c) + -6 = 5x + -14 Reorder the terms: -6 + -6 + 4c = 5x + -14 Combine like terms: -6 + -6 = -12 -12 + 4c = 5x + -14 Reorder the terms: -12 + 4c = -14 + 5x Solving -12 + 4c = -14 + 5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4c = -14 + 12 + 5x Combine like terms: -12 + 12 = 0 0 + 4c = -14 + 12 + 5x 4c = -14 + 12 + 5x Combine like terms: -14 + 12 = -2 4c = -2 + 5x Divide each side by '4'. c = -0.5 + 1.25x Simplifying c = -0.5 + 1.25x
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