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Simplifying x2 + 6(-1x + 3) = x(2 + x) + -6 Reorder the terms: x2 + 6(3 + -1x) = x(2 + x) + -6 x2 + (3 * 6 + -1x * 6) = x(2 + x) + -6 x2 + (18 + -6x) = x(2 + x) + -6 Reorder the terms: 18 + -6x + x2 = x(2 + x) + -6 18 + -6x + x2 = (2 * x + x * x) + -6 18 + -6x + x2 = (2x + x2) + -6 Reorder the terms: 18 + -6x + x2 = -6 + 2x + x2 Add '-1x2' to each side of the equation. 18 + -6x + x2 + -1x2 = -6 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -6x + 0 = -6 + 2x + x2 + -1x2 18 + -6x = -6 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -6x = -6 + 2x + 0 18 + -6x = -6 + 2x Solving 18 + -6x = -6 + 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. 18 + -6x + -2x = -6 + 2x + -2x Combine like terms: -6x + -2x = -8x 18 + -8x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -8x = -6 + 0 18 + -8x = -6 Add '-18' to each side of the equation. 18 + -18 + -8x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -6 + -18 -8x = -6 + -18 Combine like terms: -6 + -18 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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