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Simplifying x(2x + -1) + 3 = 2x(x + -3) + x Reorder the terms: x(-1 + 2x) + 3 = 2x(x + -3) + x (-1 * x + 2x * x) + 3 = 2x(x + -3) + x (-1x + 2x2) + 3 = 2x(x + -3) + x Reorder the terms: 3 + -1x + 2x2 = 2x(x + -3) + x Reorder the terms: 3 + -1x + 2x2 = 2x(-3 + x) + x 3 + -1x + 2x2 = (-3 * 2x + x * 2x) + x 3 + -1x + 2x2 = (-6x + 2x2) + x Reorder the terms: 3 + -1x + 2x2 = -6x + x + 2x2 Combine like terms: -6x + x = -5x 3 + -1x + 2x2 = -5x + 2x2 Add '-2x2' to each side of the equation. 3 + -1x + 2x2 + -2x2 = -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3 + -1x + 0 = -5x + 2x2 + -2x2 3 + -1x = -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3 + -1x = -5x + 0 3 + -1x = -5x Solving 3 + -1x = -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. 3 + -1x + 5x = -5x + 5x Combine like terms: -1x + 5x = 4x 3 + 4x = -5x + 5x Combine like terms: -5x + 5x = 0 3 + 4x = 0 Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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