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Simplifying 7(x + 7) + -6(5x + -8) = 14 Reorder the terms: 7(7 + x) + -6(5x + -8) = 14 (7 * 7 + x * 7) + -6(5x + -8) = 14 (49 + 7x) + -6(5x + -8) = 14 Reorder the terms: 49 + 7x + -6(-8 + 5x) = 14 49 + 7x + (-8 * -6 + 5x * -6) = 14 49 + 7x + (48 + -30x) = 14 Reorder the terms: 49 + 48 + 7x + -30x = 14 Combine like terms: 49 + 48 = 97 97 + 7x + -30x = 14 Combine like terms: 7x + -30x = -23x 97 + -23x = 14 Solving 97 + -23x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-97' to each side of the equation. 97 + -97 + -23x = 14 + -97 Combine like terms: 97 + -97 = 0 0 + -23x = 14 + -97 -23x = 14 + -97 Combine like terms: 14 + -97 = -83 -23x = -83 Divide each side by '-23'. x = 3.608695652 Simplifying x = 3.608695652
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