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Simplifying x(x + 2) + -3x = x(x + -4) + 5 Reorder the terms: x(2 + x) + -3x = x(x + -4) + 5 (2 * x + x * x) + -3x = x(x + -4) + 5 (2x + x2) + -3x = x(x + -4) + 5 Reorder the terms: 2x + -3x + x2 = x(x + -4) + 5 Combine like terms: 2x + -3x = -1x -1x + x2 = x(x + -4) + 5 Reorder the terms: -1x + x2 = x(-4 + x) + 5 -1x + x2 = (-4 * x + x * x) + 5 -1x + x2 = (-4x + x2) + 5 Reorder the terms: -1x + x2 = 5 + -4x + x2 Add '-1x2' to each side of the equation. -1x + x2 + -1x2 = 5 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1x + 0 = 5 + -4x + x2 + -1x2 -1x = 5 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1x = 5 + -4x + 0 -1x = 5 + -4x Solving -1x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1x + 4x = 5 + -4x + 4x Combine like terms: -1x + 4x = 3x 3x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 3x = 5 + 0 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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