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Simplifying -6(7x + -6) + 3 = 42x + 39 Reorder the terms: -6(-6 + 7x) + 3 = 42x + 39 (-6 * -6 + 7x * -6) + 3 = 42x + 39 (36 + -42x) + 3 = 42x + 39 Reorder the terms: 36 + 3 + -42x = 42x + 39 Combine like terms: 36 + 3 = 39 39 + -42x = 42x + 39 Reorder the terms: 39 + -42x = 39 + 42x Add '-39' to each side of the equation. 39 + -39 + -42x = 39 + -39 + 42x Combine like terms: 39 + -39 = 0 0 + -42x = 39 + -39 + 42x -42x = 39 + -39 + 42x Combine like terms: 39 + -39 = 0 -42x = 0 + 42x -42x = 42x Solving -42x = 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -42x + -42x = 42x + -42x Combine like terms: -42x + -42x = -84x -84x = 42x + -42x Combine like terms: 42x + -42x = 0 -84x = 0 Divide each side by '-84'. x = 0 Simplifying x = 0
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