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Simplifying 114 = 3x + 6(c + 7) Reorder the terms: 114 = 3x + 6(7 + c) 114 = 3x + (7 * 6 + c * 6) 114 = 3x + (42 + 6c) Reorder the terms: 114 = 42 + 6c + 3x Solving 114 = 42 + 6c + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 114 + -6c = 42 + 6c + -6c + 3x Combine like terms: 6c + -6c = 0 114 + -6c = 42 + 0 + 3x 114 + -6c = 42 + 3x Add '-114' to each side of the equation. 114 + -114 + -6c = 42 + -114 + 3x Combine like terms: 114 + -114 = 0 0 + -6c = 42 + -114 + 3x -6c = 42 + -114 + 3x Combine like terms: 42 + -114 = -72 -6c = -72 + 3x Divide each side by '-6'. c = 12 + -0.5x Simplifying c = 12 + -0.5x
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