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Simplifying 14x + 9x = 9(14x + -7) + 11(1 + -9x) Combine like terms: 14x + 9x = 23x 23x = 9(14x + -7) + 11(1 + -9x) Reorder the terms: 23x = 9(-7 + 14x) + 11(1 + -9x) 23x = (-7 * 9 + 14x * 9) + 11(1 + -9x) 23x = (-63 + 126x) + 11(1 + -9x) 23x = -63 + 126x + (1 * 11 + -9x * 11) 23x = -63 + 126x + (11 + -99x) Reorder the terms: 23x = -63 + 11 + 126x + -99x Combine like terms: -63 + 11 = -52 23x = -52 + 126x + -99x Combine like terms: 126x + -99x = 27x 23x = -52 + 27x Solving 23x = -52 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 23x + -27x = -52 + 27x + -27x Combine like terms: 23x + -27x = -4x -4x = -52 + 27x + -27x Combine like terms: 27x + -27x = 0 -4x = -52 + 0 -4x = -52 Divide each side by '-4'. x = 13 Simplifying x = 13
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