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Simplifying 13(x + -1) = 7x + 35 Reorder the terms: 13(-1 + x) = 7x + 35 (-1 * 13 + x * 13) = 7x + 35 (-13 + 13x) = 7x + 35 Reorder the terms: -13 + 13x = 35 + 7x Solving -13 + 13x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + 13x + -7x = 35 + 7x + -7x Combine like terms: 13x + -7x = 6x -13 + 6x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + 6x = 35 + 0 -13 + 6x = 35 Add '13' to each side of the equation. -13 + 13 + 6x = 35 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 35 + 13 6x = 35 + 13 Combine like terms: 35 + 13 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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