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Simplifying x(6x + -4) + 2 = 6x(x + -2) + 2 Reorder the terms: x(-4 + 6x) + 2 = 6x(x + -2) + 2 (-4 * x + 6x * x) + 2 = 6x(x + -2) + 2 (-4x + 6x2) + 2 = 6x(x + -2) + 2 Reorder the terms: 2 + -4x + 6x2 = 6x(x + -2) + 2 Reorder the terms: 2 + -4x + 6x2 = 6x(-2 + x) + 2 2 + -4x + 6x2 = (-2 * 6x + x * 6x) + 2 2 + -4x + 6x2 = (-12x + 6x2) + 2 Reorder the terms: 2 + -4x + 6x2 = 2 + -12x + 6x2 Add '-2' to each side of the equation. 2 + -4x + -2 + 6x2 = 2 + -12x + -2 + 6x2 Reorder the terms: 2 + -2 + -4x + 6x2 = 2 + -12x + -2 + 6x2 Combine like terms: 2 + -2 = 0 0 + -4x + 6x2 = 2 + -12x + -2 + 6x2 -4x + 6x2 = 2 + -12x + -2 + 6x2 Reorder the terms: -4x + 6x2 = 2 + -2 + -12x + 6x2 Combine like terms: 2 + -2 = 0 -4x + 6x2 = 0 + -12x + 6x2 -4x + 6x2 = -12x + 6x2 Add '-6x2' to each side of the equation. -4x + 6x2 + -6x2 = -12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4x + 0 = -12x + 6x2 + -6x2 -4x = -12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4x = -12x + 0 -4x = -12x Solving -4x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -4x + 12x = -12x + 12x Combine like terms: -4x + 12x = 8x 8x = -12x + 12x Combine like terms: -12x + 12x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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