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Simplifying 14 + -1(x + 5) = 3(5 + 9) + -10 Reorder the terms: 14 + -1(5 + x) = 3(5 + 9) + -10 14 + (5 * -1 + x * -1) = 3(5 + 9) + -10 14 + (-5 + -1x) = 3(5 + 9) + -10 Combine like terms: 14 + -5 = 9 9 + -1x = 3(5 + 9) + -10 Combine like terms: 5 + 9 = 14 9 + -1x = 3(14) + -10 Multiply 3 * 14 9 + -1x = 42 + -10 Combine like terms: 42 + -10 = 32 9 + -1x = 32 Solving 9 + -1x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 32 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 32 + -9 -1x = 32 + -9 Combine like terms: 32 + -9 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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