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Simplifying -6(4x + -6) = 6(2x + -1) + 150 Reorder the terms: -6(-6 + 4x) = 6(2x + -1) + 150 (-6 * -6 + 4x * -6) = 6(2x + -1) + 150 (36 + -24x) = 6(2x + -1) + 150 Reorder the terms: 36 + -24x = 6(-1 + 2x) + 150 36 + -24x = (-1 * 6 + 2x * 6) + 150 36 + -24x = (-6 + 12x) + 150 Reorder the terms: 36 + -24x = -6 + 150 + 12x Combine like terms: -6 + 150 = 144 36 + -24x = 144 + 12x Solving 36 + -24x = 144 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 36 + -24x + -12x = 144 + 12x + -12x Combine like terms: -24x + -12x = -36x 36 + -36x = 144 + 12x + -12x Combine like terms: 12x + -12x = 0 36 + -36x = 144 + 0 36 + -36x = 144 Add '-36' to each side of the equation. 36 + -36 + -36x = 144 + -36 Combine like terms: 36 + -36 = 0 0 + -36x = 144 + -36 -36x = 144 + -36 Combine like terms: 144 + -36 = 108 -36x = 108 Divide each side by '-36'. x = -3 Simplifying x = -3
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