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Simplifying (2x + 1) * x = (2x + 6)(x + -2) Reorder the terms: (1 + 2x) * x = (2x + 6)(x + -2) Reorder the terms for easier multiplication: x(1 + 2x) = (2x + 6)(x + -2) (1 * x + 2x * x) = (2x + 6)(x + -2) (1x + 2x2) = (2x + 6)(x + -2) Reorder the terms: 1x + 2x2 = (6 + 2x)(x + -2) Reorder the terms: 1x + 2x2 = (6 + 2x)(-2 + x) Multiply (6 + 2x) * (-2 + x) 1x + 2x2 = (6(-2 + x) + 2x * (-2 + x)) 1x + 2x2 = ((-2 * 6 + x * 6) + 2x * (-2 + x)) 1x + 2x2 = ((-12 + 6x) + 2x * (-2 + x)) 1x + 2x2 = (-12 + 6x + (-2 * 2x + x * 2x)) 1x + 2x2 = (-12 + 6x + (-4x + 2x2)) Combine like terms: 6x + -4x = 2x 1x + 2x2 = (-12 + 2x + 2x2) Add '-2x2' to each side of the equation. 1x + 2x2 + -2x2 = -12 + 2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1x + 0 = -12 + 2x + 2x2 + -2x2 1x = -12 + 2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1x = -12 + 2x + 0 1x = -12 + 2x Solving 1x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1x + -2x = -12 + 2x + -2x Combine like terms: 1x + -2x = -1x -1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -1x = -12 + 0 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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