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Simplifying 4(3 + -6x) + -6(x + -2) = -66 (3 * 4 + -6x * 4) + -6(x + -2) = -66 (12 + -24x) + -6(x + -2) = -66 Reorder the terms: 12 + -24x + -6(-2 + x) = -66 12 + -24x + (-2 * -6 + x * -6) = -66 12 + -24x + (12 + -6x) = -66 Reorder the terms: 12 + 12 + -24x + -6x = -66 Combine like terms: 12 + 12 = 24 24 + -24x + -6x = -66 Combine like terms: -24x + -6x = -30x 24 + -30x = -66 Solving 24 + -30x = -66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -30x = -66 + -24 Combine like terms: 24 + -24 = 0 0 + -30x = -66 + -24 -30x = -66 + -24 Combine like terms: -66 + -24 = -90 -30x = -90 Divide each side by '-30'. x = 3 Simplifying x = 3
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