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Simplifying 2(x + 5) + -4(2x + -3) = 9 Reorder the terms: 2(5 + x) + -4(2x + -3) = 9 (5 * 2 + x * 2) + -4(2x + -3) = 9 (10 + 2x) + -4(2x + -3) = 9 Reorder the terms: 10 + 2x + -4(-3 + 2x) = 9 10 + 2x + (-3 * -4 + 2x * -4) = 9 10 + 2x + (12 + -8x) = 9 Reorder the terms: 10 + 12 + 2x + -8x = 9 Combine like terms: 10 + 12 = 22 22 + 2x + -8x = 9 Combine like terms: 2x + -8x = -6x 22 + -6x = 9 Solving 22 + -6x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -6x = 9 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = 9 + -22 -6x = 9 + -22 Combine like terms: 9 + -22 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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