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Simplifying 2(6 + -2x) + -1(4x + -9) = 9 (6 * 2 + -2x * 2) + -1(4x + -9) = 9 (12 + -4x) + -1(4x + -9) = 9 Reorder the terms: 12 + -4x + -1(-9 + 4x) = 9 12 + -4x + (-9 * -1 + 4x * -1) = 9 12 + -4x + (9 + -4x) = 9 Reorder the terms: 12 + 9 + -4x + -4x = 9 Combine like terms: 12 + 9 = 21 21 + -4x + -4x = 9 Combine like terms: -4x + -4x = -8x 21 + -8x = 9 Solving 21 + -8x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -8x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = 9 + -21 -8x = 9 + -21 Combine like terms: 9 + -21 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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