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Simplifying 14 + 3x + -7 = 7c + 7 + -4x Reorder the terms: 14 + -7 + 3x = 7c + 7 + -4x Combine like terms: 14 + -7 = 7 7 + 3x = 7c + 7 + -4x Reorder the terms: 7 + 3x = 7 + 7c + -4x Add '-7' to each side of the equation. 7 + -7 + 3x = 7 + 7c + -7 + -4x Combine like terms: 7 + -7 = 0 0 + 3x = 7 + 7c + -7 + -4x 3x = 7 + 7c + -7 + -4x Reorder the terms: 3x = 7 + -7 + 7c + -4x Combine like terms: 7 + -7 = 0 3x = 0 + 7c + -4x 3x = 7c + -4x Solving 3x = 7c + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3x + 4x = 7c + -4x + 4x Combine like terms: 3x + 4x = 7x 7x = 7c + -4x + 4x Combine like terms: -4x + 4x = 0 7x = 7c + 0 7x = 7c Divide each side by '7'. x = c Simplifying x = c
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