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Simplifying 7(6x + -1) = 84x Reorder the terms: 7(-1 + 6x) = 84x (-1 * 7 + 6x * 7) = 84x (-7 + 42x) = 84x Solving -7 + 42x = 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. -7 + 42x + -84x = 84x + -84x Combine like terms: 42x + -84x = -42x -7 + -42x = 84x + -84x Combine like terms: 84x + -84x = 0 -7 + -42x = 0 Add '7' to each side of the equation. -7 + 7 + -42x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -42x = 0 + 7 -42x = 0 + 7 Combine like terms: 0 + 7 = 7 -42x = 7 Divide each side by '-42'. x = -0.1666666667 Simplifying x = -0.1666666667
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