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Simplifying 9(3x + -4) + -7(2x + -9) = 196 Reorder the terms: 9(-4 + 3x) + -7(2x + -9) = 196 (-4 * 9 + 3x * 9) + -7(2x + -9) = 196 (-36 + 27x) + -7(2x + -9) = 196 Reorder the terms: -36 + 27x + -7(-9 + 2x) = 196 -36 + 27x + (-9 * -7 + 2x * -7) = 196 -36 + 27x + (63 + -14x) = 196 Reorder the terms: -36 + 63 + 27x + -14x = 196 Combine like terms: -36 + 63 = 27 27 + 27x + -14x = 196 Combine like terms: 27x + -14x = 13x 27 + 13x = 196 Solving 27 + 13x = 196 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 13x = 196 + -27 Combine like terms: 27 + -27 = 0 0 + 13x = 196 + -27 13x = 196 + -27 Combine like terms: 196 + -27 = 169 13x = 169 Divide each side by '13'. x = 13 Simplifying x = 13
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