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Simplifying 8(13x + -14) = 14(x + 2) Reorder the terms: 8(-14 + 13x) = 14(x + 2) (-14 * 8 + 13x * 8) = 14(x + 2) (-112 + 104x) = 14(x + 2) Reorder the terms: -112 + 104x = 14(2 + x) -112 + 104x = (2 * 14 + x * 14) -112 + 104x = (28 + 14x) Solving -112 + 104x = 28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -112 + 104x + -14x = 28 + 14x + -14x Combine like terms: 104x + -14x = 90x -112 + 90x = 28 + 14x + -14x Combine like terms: 14x + -14x = 0 -112 + 90x = 28 + 0 -112 + 90x = 28 Add '112' to each side of the equation. -112 + 112 + 90x = 28 + 112 Combine like terms: -112 + 112 = 0 0 + 90x = 28 + 112 90x = 28 + 112 Combine like terms: 28 + 112 = 140 90x = 140 Divide each side by '90'. x = 1.555555556 Simplifying x = 1.555555556
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