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Simplifying 14 + -1(9x + 5) = 3(x + 9) + -10 Reorder the terms: 14 + -1(5 + 9x) = 3(x + 9) + -10 14 + (5 * -1 + 9x * -1) = 3(x + 9) + -10 14 + (-5 + -9x) = 3(x + 9) + -10 Combine like terms: 14 + -5 = 9 9 + -9x = 3(x + 9) + -10 Reorder the terms: 9 + -9x = 3(9 + x) + -10 9 + -9x = (9 * 3 + x * 3) + -10 9 + -9x = (27 + 3x) + -10 Reorder the terms: 9 + -9x = 27 + -10 + 3x Combine like terms: 27 + -10 = 17 9 + -9x = 17 + 3x Solving 9 + -9x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + -9x + -3x = 17 + 3x + -3x Combine like terms: -9x + -3x = -12x 9 + -12x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -12x = 17 + 0 9 + -12x = 17 Add '-9' to each side of the equation. 9 + -9 + -12x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = 17 + -9 -12x = 17 + -9 Combine like terms: 17 + -9 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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