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Simplifying 6(7 + -2x) = 3(4x + 14) (7 * 6 + -2x * 6) = 3(4x + 14) (42 + -12x) = 3(4x + 14) Reorder the terms: 42 + -12x = 3(14 + 4x) 42 + -12x = (14 * 3 + 4x * 3) 42 + -12x = (42 + 12x) Add '-42' to each side of the equation. 42 + -42 + -12x = 42 + -42 + 12x Combine like terms: 42 + -42 = 0 0 + -12x = 42 + -42 + 12x -12x = 42 + -42 + 12x Combine like terms: 42 + -42 = 0 -12x = 0 + 12x -12x = 12x Solving -12x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12x + -12x = 12x + -12x Combine like terms: -12x + -12x = -24x -24x = 12x + -12x Combine like terms: 12x + -12x = 0 -24x = 0 Divide each side by '-24'. x = 0 Simplifying x = 0
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