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Simplifying 4(3 + -9x) + -6(x + -4) = -12 (3 * 4 + -9x * 4) + -6(x + -4) = -12 (12 + -36x) + -6(x + -4) = -12 Reorder the terms: 12 + -36x + -6(-4 + x) = -12 12 + -36x + (-4 * -6 + x * -6) = -12 12 + -36x + (24 + -6x) = -12 Reorder the terms: 12 + 24 + -36x + -6x = -12 Combine like terms: 12 + 24 = 36 36 + -36x + -6x = -12 Combine like terms: -36x + -6x = -42x 36 + -42x = -12 Solving 36 + -42x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -42x = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -42x = -12 + -36 -42x = -12 + -36 Combine like terms: -12 + -36 = -48 -42x = -48 Divide each side by '-42'. x = 1.142857143 Simplifying x = 1.142857143
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