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Simplifying -2(3x + -6) = -2(2x + 4) Reorder the terms: -2(-6 + 3x) = -2(2x + 4) (-6 * -2 + 3x * -2) = -2(2x + 4) (12 + -6x) = -2(2x + 4) Reorder the terms: 12 + -6x = -2(4 + 2x) 12 + -6x = (4 * -2 + 2x * -2) 12 + -6x = (-8 + -4x) Solving 12 + -6x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + -6x + 4x = -8 + -4x + 4x Combine like terms: -6x + 4x = -2x 12 + -2x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + -2x = -8 + 0 12 + -2x = -8 Add '-12' to each side of the equation. 12 + -12 + -2x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -8 + -12 -2x = -8 + -12 Combine like terms: -8 + -12 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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