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Simplifying x(x + 3) = x(x + -4) Reorder the terms: x(3 + x) = x(x + -4) (3 * x + x * x) = x(x + -4) (3x + x2) = x(x + -4) Reorder the terms: 3x + x2 = x(-4 + x) 3x + x2 = (-4 * x + x * x) 3x + x2 = (-4x + x2) Add '-1x2' to each side of the equation. 3x + x2 + -1x2 = -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3x + 0 = -4x + x2 + -1x2 3x = -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3x = -4x + 0 3x = -4x Solving 3x = -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. 3x + 4x = -4x + 4x Combine like terms: 3x + 4x = 7x 7x = -4x + 4x Combine like terms: -4x + 4x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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