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Simplifying 7(2 + -6x) = 5x + 14 (2 * 7 + -6x * 7) = 5x + 14 (14 + -42x) = 5x + 14 Reorder the terms: 14 + -42x = 14 + 5x Add '-14' to each side of the equation. 14 + -14 + -42x = 14 + -14 + 5x Combine like terms: 14 + -14 = 0 0 + -42x = 14 + -14 + 5x -42x = 14 + -14 + 5x Combine like terms: 14 + -14 = 0 -42x = 0 + 5x -42x = 5x Solving -42x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42x + -5x = 5x + -5x Combine like terms: -42x + -5x = -47x -47x = 5x + -5x Combine like terms: 5x + -5x = 0 -47x = 0 Divide each side by '-47'. x = 0 Simplifying x = 0
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