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Simplifying 12(x + -2) = -4(x + 10) Reorder the terms: 12(-2 + x) = -4(x + 10) (-2 * 12 + x * 12) = -4(x + 10) (-24 + 12x) = -4(x + 10) Reorder the terms: -24 + 12x = -4(10 + x) -24 + 12x = (10 * -4 + x * -4) -24 + 12x = (-40 + -4x) Solving -24 + 12x = -40 + -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. -24 + 12x + 4x = -40 + -4x + 4x Combine like terms: 12x + 4x = 16x -24 + 16x = -40 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 16x = -40 + 0 -24 + 16x = -40 Add '24' to each side of the equation. -24 + 24 + 16x = -40 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = -40 + 24 16x = -40 + 24 Combine like terms: -40 + 24 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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