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Simplifying 7(4 + -2x) + 9(x + -1) = 0 (4 * 7 + -2x * 7) + 9(x + -1) = 0 (28 + -14x) + 9(x + -1) = 0 Reorder the terms: 28 + -14x + 9(-1 + x) = 0 28 + -14x + (-1 * 9 + x * 9) = 0 28 + -14x + (-9 + 9x) = 0 Reorder the terms: 28 + -9 + -14x + 9x = 0 Combine like terms: 28 + -9 = 19 19 + -14x + 9x = 0 Combine like terms: -14x + 9x = -5x 19 + -5x = 0 Solving 19 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -5x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = 0 + -19 -5x = 0 + -19 Combine like terms: 0 + -19 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8
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