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Simplifying 7(5x + 6) = 7(-9x + -2) Reorder the terms: 7(6 + 5x) = 7(-9x + -2) (6 * 7 + 5x * 7) = 7(-9x + -2) (42 + 35x) = 7(-9x + -2) Reorder the terms: 42 + 35x = 7(-2 + -9x) 42 + 35x = (-2 * 7 + -9x * 7) 42 + 35x = (-14 + -63x) Solving 42 + 35x = -14 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 42 + 35x + 63x = -14 + -63x + 63x Combine like terms: 35x + 63x = 98x 42 + 98x = -14 + -63x + 63x Combine like terms: -63x + 63x = 0 42 + 98x = -14 + 0 42 + 98x = -14 Add '-42' to each side of the equation. 42 + -42 + 98x = -14 + -42 Combine like terms: 42 + -42 = 0 0 + 98x = -14 + -42 98x = -14 + -42 Combine like terms: -14 + -42 = -56 98x = -56 Divide each side by '98'. x = -0.5714285714 Simplifying x = -0.5714285714
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