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Simplifying x(2x + -6) + x(2x + -3) = (4x + 1)(x + -2) Reorder the terms: x(-6 + 2x) + x(2x + -3) = (4x + 1)(x + -2) (-6 * x + 2x * x) + x(2x + -3) = (4x + 1)(x + -2) (-6x + 2x2) + x(2x + -3) = (4x + 1)(x + -2) Reorder the terms: -6x + 2x2 + x(-3 + 2x) = (4x + 1)(x + -2) -6x + 2x2 + (-3 * x + 2x * x) = (4x + 1)(x + -2) -6x + 2x2 + (-3x + 2x2) = (4x + 1)(x + -2) Reorder the terms: -6x + -3x + 2x2 + 2x2 = (4x + 1)(x + -2) Combine like terms: -6x + -3x = -9x -9x + 2x2 + 2x2 = (4x + 1)(x + -2) Combine like terms: 2x2 + 2x2 = 4x2 -9x + 4x2 = (4x + 1)(x + -2) Reorder the terms: -9x + 4x2 = (1 + 4x)(x + -2) Reorder the terms: -9x + 4x2 = (1 + 4x)(-2 + x) Multiply (1 + 4x) * (-2 + x) -9x + 4x2 = (1(-2 + x) + 4x * (-2 + x)) -9x + 4x2 = ((-2 * 1 + x * 1) + 4x * (-2 + x)) -9x + 4x2 = ((-2 + 1x) + 4x * (-2 + x)) -9x + 4x2 = (-2 + 1x + (-2 * 4x + x * 4x)) -9x + 4x2 = (-2 + 1x + (-8x + 4x2)) Combine like terms: 1x + -8x = -7x -9x + 4x2 = (-2 + -7x + 4x2) Add '-4x2' to each side of the equation. -9x + 4x2 + -4x2 = -2 + -7x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9x + 0 = -2 + -7x + 4x2 + -4x2 -9x = -2 + -7x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9x = -2 + -7x + 0 -9x = -2 + -7x Solving -9x = -2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -9x + 7x = -2 + -7x + 7x Combine like terms: -9x + 7x = -2x -2x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 -2x = -2 + 0 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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