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Simplifying -3(4x + -9) + -2(6x + 3) = -6 Reorder the terms: -3(-9 + 4x) + -2(6x + 3) = -6 (-9 * -3 + 4x * -3) + -2(6x + 3) = -6 (27 + -12x) + -2(6x + 3) = -6 Reorder the terms: 27 + -12x + -2(3 + 6x) = -6 27 + -12x + (3 * -2 + 6x * -2) = -6 27 + -12x + (-6 + -12x) = -6 Reorder the terms: 27 + -6 + -12x + -12x = -6 Combine like terms: 27 + -6 = 21 21 + -12x + -12x = -6 Combine like terms: -12x + -12x = -24x 21 + -24x = -6 Solving 21 + -24x = -6 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 + -24x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -24x = -6 + -21 -24x = -6 + -21 Combine like terms: -6 + -21 = -27 -24x = -27 Divide each side by '-24'. x = 1.125 Simplifying x = 1.125
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