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Simplifying 7(5x + 9) = 7(-7x + -4) Reorder the terms: 7(9 + 5x) = 7(-7x + -4) (9 * 7 + 5x * 7) = 7(-7x + -4) (63 + 35x) = 7(-7x + -4) Reorder the terms: 63 + 35x = 7(-4 + -7x) 63 + 35x = (-4 * 7 + -7x * 7) 63 + 35x = (-28 + -49x) Solving 63 + 35x = -28 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. 63 + 35x + 49x = -28 + -49x + 49x Combine like terms: 35x + 49x = 84x 63 + 84x = -28 + -49x + 49x Combine like terms: -49x + 49x = 0 63 + 84x = -28 + 0 63 + 84x = -28 Add '-63' to each side of the equation. 63 + -63 + 84x = -28 + -63 Combine like terms: 63 + -63 = 0 0 + 84x = -28 + -63 84x = -28 + -63 Combine like terms: -28 + -63 = -91 84x = -91 Divide each side by '84'. x = -1.083333333 Simplifying x = -1.083333333
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