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Simplifying 6(7x + 2) = -4x + 12 Reorder the terms: 6(2 + 7x) = -4x + 12 (2 * 6 + 7x * 6) = -4x + 12 (12 + 42x) = -4x + 12 Reorder the terms: 12 + 42x = 12 + -4x Add '-12' to each side of the equation. 12 + -12 + 42x = 12 + -12 + -4x Combine like terms: 12 + -12 = 0 0 + 42x = 12 + -12 + -4x 42x = 12 + -12 + -4x Combine like terms: 12 + -12 = 0 42x = 0 + -4x 42x = -4x Solving 42x = -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. 42x + 4x = -4x + 4x Combine like terms: 42x + 4x = 46x 46x = -4x + 4x Combine like terms: -4x + 4x = 0 46x = 0 Divide each side by '46'. x = 0 Simplifying x = 0
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