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Simplifying x(2x + -4) + 3x = x(5 + 2x) + 6 Reorder the terms: x(-4 + 2x) + 3x = x(5 + 2x) + 6 (-4 * x + 2x * x) + 3x = x(5 + 2x) + 6 (-4x + 2x2) + 3x = x(5 + 2x) + 6 Reorder the terms: -4x + 3x + 2x2 = x(5 + 2x) + 6 Combine like terms: -4x + 3x = -1x -1x + 2x2 = x(5 + 2x) + 6 -1x + 2x2 = (5 * x + 2x * x) + 6 -1x + 2x2 = (5x + 2x2) + 6 Reorder the terms: -1x + 2x2 = 6 + 5x + 2x2 Add '-2x2' to each side of the equation. -1x + 2x2 + -2x2 = 6 + 5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1x + 0 = 6 + 5x + 2x2 + -2x2 -1x = 6 + 5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1x = 6 + 5x + 0 -1x = 6 + 5x Solving -1x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1x + -5x = 6 + 5x + -5x Combine like terms: -1x + -5x = -6x -6x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -6x = 6 + 0 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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