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Simplifying x(6x + -3) + 2 = 6x(x + -2) + x Reorder the terms: x(-3 + 6x) + 2 = 6x(x + -2) + x (-3 * x + 6x * x) + 2 = 6x(x + -2) + x (-3x + 6x2) + 2 = 6x(x + -2) + x Reorder the terms: 2 + -3x + 6x2 = 6x(x + -2) + x Reorder the terms: 2 + -3x + 6x2 = 6x(-2 + x) + x 2 + -3x + 6x2 = (-2 * 6x + x * 6x) + x 2 + -3x + 6x2 = (-12x + 6x2) + x Reorder the terms: 2 + -3x + 6x2 = -12x + x + 6x2 Combine like terms: -12x + x = -11x 2 + -3x + 6x2 = -11x + 6x2 Add '-6x2' to each side of the equation. 2 + -3x + 6x2 + -6x2 = -11x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2 + -3x + 0 = -11x + 6x2 + -6x2 2 + -3x = -11x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2 + -3x = -11x + 0 2 + -3x = -11x Solving 2 + -3x = -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 2 + -3x + 11x = -11x + 11x Combine like terms: -3x + 11x = 8x 2 + 8x = -11x + 11x Combine like terms: -11x + 11x = 0 2 + 8x = 0 Add '-2' to each side of the equation. 2 + -2 + 8x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 0 + -2 8x = 0 + -2 Combine like terms: 0 + -2 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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