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Simplifying -7(6x + -8) = 42x + 56 Reorder the terms: -7(-8 + 6x) = 42x + 56 (-8 * -7 + 6x * -7) = 42x + 56 (56 + -42x) = 42x + 56 Reorder the terms: 56 + -42x = 56 + 42x Add '-56' to each side of the equation. 56 + -56 + -42x = 56 + -56 + 42x Combine like terms: 56 + -56 = 0 0 + -42x = 56 + -56 + 42x -42x = 56 + -56 + 42x Combine like terms: 56 + -56 = 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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