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Simplifying 4c + 5 + x = 6x + -7 + -1x Reorder the terms: 5 + 4c + x = 6x + -7 + -1x Reorder the terms: 5 + 4c + x = -7 + 6x + -1x Combine like terms: 6x + -1x = 5x 5 + 4c + x = -7 + 5x Solving 5 + 4c + x = -7 + 5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4c + -5 + x = -7 + -5 + 5x Reorder the terms: 5 + -5 + 4c + x = -7 + -5 + 5x Combine like terms: 5 + -5 = 0 0 + 4c + x = -7 + -5 + 5x 4c + x = -7 + -5 + 5x Combine like terms: -7 + -5 = -12 4c + x = -12 + 5x Add '-1x' to each side of the equation. 4c + x + -1x = -12 + 5x + -1x Combine like terms: x + -1x = 0 4c + 0 = -12 + 5x + -1x 4c = -12 + 5x + -1x Combine like terms: 5x + -1x = 4x 4c = -12 + 4x Divide each side by '4'. c = -3 + x Simplifying c = -3 + x
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