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Simplifying x(6x + -2) + 2 = 6x(x + -2) + 2 Reorder the terms: x(-2 + 6x) + 2 = 6x(x + -2) + 2 (-2 * x + 6x * x) + 2 = 6x(x + -2) + 2 (-2x + 6x2) + 2 = 6x(x + -2) + 2 Reorder the terms: 2 + -2x + 6x2 = 6x(x + -2) + 2 Reorder the terms: 2 + -2x + 6x2 = 6x(-2 + x) + 2 2 + -2x + 6x2 = (-2 * 6x + x * 6x) + 2 2 + -2x + 6x2 = (-12x + 6x2) + 2 Reorder the terms: 2 + -2x + 6x2 = 2 + -12x + 6x2 Add '-2' to each side of the equation. 2 + -2x + -2 + 6x2 = 2 + -12x + -2 + 6x2 Reorder the terms: 2 + -2 + -2x + 6x2 = 2 + -12x + -2 + 6x2 Combine like terms: 2 + -2 = 0 0 + -2x + 6x2 = 2 + -12x + -2 + 6x2 -2x + 6x2 = 2 + -12x + -2 + 6x2 Reorder the terms: -2x + 6x2 = 2 + -2 + -12x + 6x2 Combine like terms: 2 + -2 = 0 -2x + 6x2 = 0 + -12x + 6x2 -2x + 6x2 = -12x + 6x2 Add '-6x2' to each side of the equation. -2x + 6x2 + -6x2 = -12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2x + 0 = -12x + 6x2 + -6x2 -2x = -12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2x = -12x + 0 -2x = -12x Solving -2x = -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. -2x + 12x = -12x + 12x Combine like terms: -2x + 12x = 10x 10x = -12x + 12x Combine like terms: -12x + 12x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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