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Simplifying 14 + -1(x + 5) = (x + 9) + -10 Reorder the terms: 14 + -1(5 + x) = (x + 9) + -10 14 + (5 * -1 + x * -1) = (x + 9) + -10 14 + (-5 + -1x) = (x + 9) + -10 Combine like terms: 14 + -5 = 9 9 + -1x = (x + 9) + -10 Reorder the terms: 9 + -1x = (9 + x) + -10 Remove parenthesis around (9 + x) 9 + -1x = 9 + x + -10 Reorder the terms: 9 + -1x = 9 + -10 + x Combine like terms: 9 + -10 = -1 9 + -1x = -1 + x Solving 9 + -1x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + -1x + -1x = -1 + x + -1x Combine like terms: -1x + -1x = -2x 9 + -2x = -1 + x + -1x Combine like terms: x + -1x = 0 9 + -2x = -1 + 0 9 + -2x = -1 Add '-9' to each side of the equation. 9 + -9 + -2x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -1 + -9 -2x = -1 + -9 Combine like terms: -1 + -9 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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