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Simplifying 3 + -2x + -1(3 + x2) = -1x + 12 + -1x2 3 + -2x + (3 * -1 + x2 * -1) = -1x + 12 + -1x2 3 + -2x + (-3 + -1x2) = -1x + 12 + -1x2 Reorder the terms: 3 + -3 + -2x + -1x2 = -1x + 12 + -1x2 Combine like terms: 3 + -3 = 0 0 + -2x + -1x2 = -1x + 12 + -1x2 -2x + -1x2 = -1x + 12 + -1x2 Reorder the terms: -2x + -1x2 = 12 + -1x + -1x2 Add 'x2' to each side of the equation. -2x + -1x2 + x2 = 12 + -1x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -2x + 0 = 12 + -1x + -1x2 + x2 -2x = 12 + -1x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -2x = 12 + -1x + 0 -2x = 12 + -1x Solving -2x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2x + x = 12 + -1x + x Combine like terms: -2x + x = -1x -1x = 12 + -1x + x Combine like terms: -1x + x = 0 -1x = 12 + 0 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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