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Simplifying -4(3 + -6x) = 32 + 2x (3 * -4 + -6x * -4) = 32 + 2x (-12 + 24x) = 32 + 2x Solving -12 + 24x = 32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 24x + -2x = 32 + 2x + -2x Combine like terms: 24x + -2x = 22x -12 + 22x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 22x = 32 + 0 -12 + 22x = 32 Add '12' to each side of the equation. -12 + 12 + 22x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 22x = 32 + 12 22x = 32 + 12 Combine like terms: 32 + 12 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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