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Simplifying (3x + -7)(8 + 5) = 2(7 + 6x) Reorder the terms: (-7 + 3x)(8 + 5) = 2(7 + 6x) Combine like terms: 8 + 5 = 13 (-7 + 3x)(13) = 2(7 + 6x) Reorder the terms for easier multiplication: 13(-7 + 3x) = 2(7 + 6x) (-7 * 13 + 3x * 13) = 2(7 + 6x) (-91 + 39x) = 2(7 + 6x) -91 + 39x = (7 * 2 + 6x * 2) -91 + 39x = (14 + 12x) Solving -91 + 39x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -91 + 39x + -12x = 14 + 12x + -12x Combine like terms: 39x + -12x = 27x -91 + 27x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -91 + 27x = 14 + 0 -91 + 27x = 14 Add '91' to each side of the equation. -91 + 91 + 27x = 14 + 91 Combine like terms: -91 + 91 = 0 0 + 27x = 14 + 91 27x = 14 + 91 Combine like terms: 14 + 91 = 105 27x = 105 Divide each side by '27'. x = 3.888888889 Simplifying x = 3.888888889
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