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Simplifying 6x(x + 3) + -2 = 3x(2x + -1) Reorder the terms: 6x(3 + x) + -2 = 3x(2x + -1) (3 * 6x + x * 6x) + -2 = 3x(2x + -1) (18x + 6x2) + -2 = 3x(2x + -1) Reorder the terms: -2 + 18x + 6x2 = 3x(2x + -1) Reorder the terms: -2 + 18x + 6x2 = 3x(-1 + 2x) -2 + 18x + 6x2 = (-1 * 3x + 2x * 3x) -2 + 18x + 6x2 = (-3x + 6x2) Add '-6x2' to each side of the equation. -2 + 18x + 6x2 + -6x2 = -3x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2 + 18x + 0 = -3x + 6x2 + -6x2 -2 + 18x = -3x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2 + 18x = -3x + 0 -2 + 18x = -3x Solving -2 + 18x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 18x + 3x = -3x + 3x Combine like terms: 18x + 3x = 21x -2 + 21x = -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 21x = 0 Add '2' to each side of the equation. -2 + 2 + 21x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 21x = 0 + 2 21x = 0 + 2 Combine like terms: 0 + 2 = 2 21x = 2 Divide each side by '21'. x = 0.09523809524 Simplifying x = 0.09523809524
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