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Simplifying -6(x + -12) + 4(3 + -6x) = -36 Reorder the terms: -6(-12 + x) + 4(3 + -6x) = -36 (-12 * -6 + x * -6) + 4(3 + -6x) = -36 (72 + -6x) + 4(3 + -6x) = -36 72 + -6x + (3 * 4 + -6x * 4) = -36 72 + -6x + (12 + -24x) = -36 Reorder the terms: 72 + 12 + -6x + -24x = -36 Combine like terms: 72 + 12 = 84 84 + -6x + -24x = -36 Combine like terms: -6x + -24x = -30x 84 + -30x = -36 Solving 84 + -30x = -36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -30x = -36 + -84 Combine like terms: 84 + -84 = 0 0 + -30x = -36 + -84 -30x = -36 + -84 Combine like terms: -36 + -84 = -120 -30x = -120 Divide each side by '-30'. x = 4 Simplifying x = 4
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