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Simplifying -4(x + -6) + -2(x + -9) = -12 Reorder the terms: -4(-6 + x) + -2(x + -9) = -12 (-6 * -4 + x * -4) + -2(x + -9) = -12 (24 + -4x) + -2(x + -9) = -12 Reorder the terms: 24 + -4x + -2(-9 + x) = -12 24 + -4x + (-9 * -2 + x * -2) = -12 24 + -4x + (18 + -2x) = -12 Reorder the terms: 24 + 18 + -4x + -2x = -12 Combine like terms: 24 + 18 = 42 42 + -4x + -2x = -12 Combine like terms: -4x + -2x = -6x 42 + -6x = -12 Solving 42 + -6x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -6x = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = -12 + -42 -6x = -12 + -42 Combine like terms: -12 + -42 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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