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Simplifying x(x + 3) = x2 + -1x + 12 Reorder the terms: x(3 + x) = x2 + -1x + 12 (3 * x + x * x) = x2 + -1x + 12 (3x + x2) = x2 + -1x + 12 Reorder the terms: 3x + x2 = 12 + -1x + x2 Add '-1x2' to each side of the equation. 3x + x2 + -1x2 = 12 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3x + 0 = 12 + -1x + x2 + -1x2 3x = 12 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3x = 12 + -1x + 0 3x = 12 + -1x Solving 3x = 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. 3x + x = 12 + -1x + x Combine like terms: 3x + x = 4x 4x = 12 + -1x + x Combine like terms: -1x + x = 0 4x = 12 + 0 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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