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Simplifying 6(c + 2) + -1x = 4(x + 4) + 7 Reorder the terms: 6(2 + c) + -1x = 4(x + 4) + 7 (2 * 6 + c * 6) + -1x = 4(x + 4) + 7 (12 + 6c) + -1x = 4(x + 4) + 7 Reorder the terms: 12 + 6c + -1x = 4(4 + x) + 7 12 + 6c + -1x = (4 * 4 + x * 4) + 7 12 + 6c + -1x = (16 + 4x) + 7 Reorder the terms: 12 + 6c + -1x = 16 + 7 + 4x Combine like terms: 16 + 7 = 23 12 + 6c + -1x = 23 + 4x Solving 12 + 6c + -1x = 23 + 4x 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 + 6c + -12 + -1x = 23 + -12 + 4x Reorder the terms: 12 + -12 + 6c + -1x = 23 + -12 + 4x Combine like terms: 12 + -12 = 0 0 + 6c + -1x = 23 + -12 + 4x 6c + -1x = 23 + -12 + 4x Combine like terms: 23 + -12 = 11 6c + -1x = 11 + 4x Add 'x' to each side of the equation. 6c + -1x + x = 11 + 4x + x Combine like terms: -1x + x = 0 6c + 0 = 11 + 4x + x 6c = 11 + 4x + x Combine like terms: 4x + x = 5x 6c = 11 + 5x Divide each side by '6'. c = 1.833333333 + 0.8333333333x Simplifying c = 1.833333333 + 0.8333333333x
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