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Simplifying 2(x + 3) + -4(2x + -3) = 9 Reorder the terms: 2(3 + x) + -4(2x + -3) = 9 (3 * 2 + x * 2) + -4(2x + -3) = 9 (6 + 2x) + -4(2x + -3) = 9 Reorder the terms: 6 + 2x + -4(-3 + 2x) = 9 6 + 2x + (-3 * -4 + 2x * -4) = 9 6 + 2x + (12 + -8x) = 9 Reorder the terms: 6 + 12 + 2x + -8x = 9 Combine like terms: 6 + 12 = 18 18 + 2x + -8x = 9 Combine like terms: 2x + -8x = -6x 18 + -6x = 9 Solving 18 + -6x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -6x = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 9 + -18 -6x = 9 + -18 Combine like terms: 9 + -18 = -9 -6x = -9 Divide each side by '-6'. x = 1.5 Simplifying x = 1.5
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