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Simplifying 13(x + -7) = 6x + 35 Reorder the terms: 13(-7 + x) = 6x + 35 (-7 * 13 + x * 13) = 6x + 35 (-91 + 13x) = 6x + 35 Reorder the terms: -91 + 13x = 35 + 6x Solving -91 + 13x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -91 + 13x + -6x = 35 + 6x + -6x Combine like terms: 13x + -6x = 7x -91 + 7x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 -91 + 7x = 35 + 0 -91 + 7x = 35 Add '91' to each side of the equation. -91 + 91 + 7x = 35 + 91 Combine like terms: -91 + 91 = 0 0 + 7x = 35 + 91 7x = 35 + 91 Combine like terms: 35 + 91 = 126 7x = 126 Divide each side by '7'. x = 18 Simplifying x = 18
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