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Simplifying -2(4x + -6) = 6 + -6x Reorder the terms: -2(-6 + 4x) = 6 + -6x (-6 * -2 + 4x * -2) = 6 + -6x (12 + -8x) = 6 + -6x Solving 12 + -8x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + -8x + 6x = 6 + -6x + 6x Combine like terms: -8x + 6x = -2x 12 + -2x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + -2x = 6 + 0 12 + -2x = 6 Add '-12' to each side of the equation. 12 + -12 + -2x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 6 + -12 -2x = 6 + -12 Combine like terms: 6 + -12 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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