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Simplifying 2(x + -3) + x(2 + -1x) = 2 + -1x2 Reorder the terms: 2(-3 + x) + x(2 + -1x) = 2 + -1x2 (-3 * 2 + x * 2) + x(2 + -1x) = 2 + -1x2 (-6 + 2x) + x(2 + -1x) = 2 + -1x2 -6 + 2x + (2 * x + -1x * x) = 2 + -1x2 -6 + 2x + (2x + -1x2) = 2 + -1x2 Combine like terms: 2x + 2x = 4x -6 + 4x + -1x2 = 2 + -1x2 Add 'x2' to each side of the equation. -6 + 4x + -1x2 + x2 = 2 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -6 + 4x + 0 = 2 + -1x2 + x2 -6 + 4x = 2 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -6 + 4x = 2 + 0 -6 + 4x = 2 Solving -6 + 4x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 2 + 6 4x = 2 + 6 Combine like terms: 2 + 6 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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