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Simplifying 7(8x + 7) + -5(7x + -7) = 0 Reorder the terms: 7(7 + 8x) + -5(7x + -7) = 0 (7 * 7 + 8x * 7) + -5(7x + -7) = 0 (49 + 56x) + -5(7x + -7) = 0 Reorder the terms: 49 + 56x + -5(-7 + 7x) = 0 49 + 56x + (-7 * -5 + 7x * -5) = 0 49 + 56x + (35 + -35x) = 0 Reorder the terms: 49 + 35 + 56x + -35x = 0 Combine like terms: 49 + 35 = 84 84 + 56x + -35x = 0 Combine like terms: 56x + -35x = 21x 84 + 21x = 0 Solving 84 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 21x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 21x = 0 + -84 21x = 0 + -84 Combine like terms: 0 + -84 = -84 21x = -84 Divide each side by '21'. x = -4 Simplifying x = -4
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