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Simplifying (6x + 7) * 2 = 13x + -8 Reorder the terms: (7 + 6x) * 2 = 13x + -8 Reorder the terms for easier multiplication: 2(7 + 6x) = 13x + -8 (7 * 2 + 6x * 2) = 13x + -8 (14 + 12x) = 13x + -8 Reorder the terms: 14 + 12x = -8 + 13x Solving 14 + 12x = -8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 14 + 12x + -13x = -8 + 13x + -13x Combine like terms: 12x + -13x = -1x 14 + -1x = -8 + 13x + -13x Combine like terms: 13x + -13x = 0 14 + -1x = -8 + 0 14 + -1x = -8 Add '-14' to each side of the equation. 14 + -14 + -1x = -8 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -8 + -14 -1x = -8 + -14 Combine like terms: -8 + -14 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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