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Simplifying x2 + 4(x + -2) = x(x + 1) + 4 Reorder the terms: x2 + 4(-2 + x) = x(x + 1) + 4 x2 + (-2 * 4 + x * 4) = x(x + 1) + 4 x2 + (-8 + 4x) = x(x + 1) + 4 Reorder the terms: -8 + 4x + x2 = x(x + 1) + 4 Reorder the terms: -8 + 4x + x2 = x(1 + x) + 4 -8 + 4x + x2 = (1 * x + x * x) + 4 -8 + 4x + x2 = (1x + x2) + 4 Reorder the terms: -8 + 4x + x2 = 4 + 1x + x2 Add '-1x2' to each side of the equation. -8 + 4x + x2 + -1x2 = 4 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + 4x + 0 = 4 + 1x + x2 + -1x2 -8 + 4x = 4 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + 4x = 4 + 1x + 0 -8 + 4x = 4 + 1x Solving -8 + 4x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 4x + -1x = 4 + 1x + -1x Combine like terms: 4x + -1x = 3x -8 + 3x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + 3x = 4 + 0 -8 + 3x = 4 Add '8' to each side of the equation. -8 + 8 + 3x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 4 + 8 3x = 4 + 8 Combine like terms: 4 + 8 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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