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Simplifying 4c + 6(x + 1) + 2 = 8 + -7x Reorder the terms: 4c + 6(1 + x) + 2 = 8 + -7x 4c + (1 * 6 + x * 6) + 2 = 8 + -7x 4c + (6 + 6x) + 2 = 8 + -7x Reorder the terms: 6 + 2 + 4c + 6x = 8 + -7x Combine like terms: 6 + 2 = 8 8 + 4c + 6x = 8 + -7x Add '-8' to each side of the equation. 8 + 4c + -8 + 6x = 8 + -8 + -7x Reorder the terms: 8 + -8 + 4c + 6x = 8 + -8 + -7x Combine like terms: 8 + -8 = 0 0 + 4c + 6x = 8 + -8 + -7x 4c + 6x = 8 + -8 + -7x Combine like terms: 8 + -8 = 0 4c + 6x = 0 + -7x 4c + 6x = -7x Solving 4c + 6x = -7x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6x' to each side of the equation. 4c + 6x + -6x = -7x + -6x Combine like terms: 6x + -6x = 0 4c + 0 = -7x + -6x 4c = -7x + -6x Combine like terms: -7x + -6x = -13x 4c = -13x Divide each side by '4'. c = -3.25x Simplifying c = -3.25x
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