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Simplifying 7(x + -1) + 14(x + 7) = 0 Reorder the terms: 7(-1 + x) + 14(x + 7) = 0 (-1 * 7 + x * 7) + 14(x + 7) = 0 (-7 + 7x) + 14(x + 7) = 0 Reorder the terms: -7 + 7x + 14(7 + x) = 0 -7 + 7x + (7 * 14 + x * 14) = 0 -7 + 7x + (98 + 14x) = 0 Reorder the terms: -7 + 98 + 7x + 14x = 0 Combine like terms: -7 + 98 = 91 91 + 7x + 14x = 0 Combine like terms: 7x + 14x = 21x 91 + 21x = 0 Solving 91 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + 21x = 0 + -91 Combine like terms: 91 + -91 = 0 0 + 21x = 0 + -91 21x = 0 + -91 Combine like terms: 0 + -91 = -91 21x = -91 Divide each side by '21'. x = -4.333333333 Simplifying x = -4.333333333
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