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Simplifying 5(8x + -7) = 13x + -14 Reorder the terms: 5(-7 + 8x) = 13x + -14 (-7 * 5 + 8x * 5) = 13x + -14 (-35 + 40x) = 13x + -14 Reorder the terms: -35 + 40x = -14 + 13x Solving -35 + 40x = -14 + 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. -35 + 40x + -13x = -14 + 13x + -13x Combine like terms: 40x + -13x = 27x -35 + 27x = -14 + 13x + -13x Combine like terms: 13x + -13x = 0 -35 + 27x = -14 + 0 -35 + 27x = -14 Add '35' to each side of the equation. -35 + 35 + 27x = -14 + 35 Combine like terms: -35 + 35 = 0 0 + 27x = -14 + 35 27x = -14 + 35 Combine like terms: -14 + 35 = 21 27x = 21 Divide each side by '27'. x = 0.7777777778 Simplifying x = 0.7777777778
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