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Simplifying 6 + 2(3 + -2x) = -4(3 + -1x) 6 + (3 * 2 + -2x * 2) = -4(3 + -1x) 6 + (6 + -4x) = -4(3 + -1x) Combine like terms: 6 + 6 = 12 12 + -4x = -4(3 + -1x) 12 + -4x = (3 * -4 + -1x * -4) 12 + -4x = (-12 + 4x) Solving 12 + -4x = -12 + 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 + -4x + -4x = -12 + 4x + -4x Combine like terms: -4x + -4x = -8x 12 + -8x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -8x = -12 + 0 12 + -8x = -12 Add '-12' to each side of the equation. 12 + -12 + -8x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -12 + -12 -8x = -12 + -12 Combine like terms: -12 + -12 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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