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Simplifying 7(5x + -2) = 84x Reorder the terms: 7(-2 + 5x) = 84x (-2 * 7 + 5x * 7) = 84x (-14 + 35x) = 84x Solving -14 + 35x = 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. -14 + 35x + -84x = 84x + -84x Combine like terms: 35x + -84x = -49x -14 + -49x = 84x + -84x Combine like terms: 84x + -84x = 0 -14 + -49x = 0 Add '14' to each side of the equation. -14 + 14 + -49x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -49x = 0 + 14 -49x = 0 + 14 Combine like terms: 0 + 14 = 14 -49x = 14 Divide each side by '-49'. x = -0.2857142857 Simplifying x = -0.2857142857
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