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Simplifying 6(14 + -7x) = 3(-2 + x) (14 * 6 + -7x * 6) = 3(-2 + x) (84 + -42x) = 3(-2 + x) 84 + -42x = (-2 * 3 + x * 3) 84 + -42x = (-6 + 3x) Solving 84 + -42x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 84 + -42x + -3x = -6 + 3x + -3x Combine like terms: -42x + -3x = -45x 84 + -45x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 84 + -45x = -6 + 0 84 + -45x = -6 Add '-84' to each side of the equation. 84 + -84 + -45x = -6 + -84 Combine like terms: 84 + -84 = 0 0 + -45x = -6 + -84 -45x = -6 + -84 Combine like terms: -6 + -84 = -90 -45x = -90 Divide each side by '-45'. x = 2 Simplifying x = 2
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