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Simplifying (6x + -8) + -1(6x + 13) = -7x Reorder the terms: (-8 + 6x) + -1(6x + 13) = -7x Remove parenthesis around (-8 + 6x) -8 + 6x + -1(6x + 13) = -7x Reorder the terms: -8 + 6x + -1(13 + 6x) = -7x -8 + 6x + (13 * -1 + 6x * -1) = -7x -8 + 6x + (-13 + -6x) = -7x Reorder the terms: -8 + -13 + 6x + -6x = -7x Combine like terms: -8 + -13 = -21 -21 + 6x + -6x = -7x Combine like terms: 6x + -6x = 0 -21 + 0 = -7x -21 = -7x Solving -21 = -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. -21 + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 -21 + 7x = 0 Add '21' to each side of the equation. -21 + 21 + 7x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 0 + 21 7x = 0 + 21 Combine like terms: 0 + 21 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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