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Simplifying 3x(2x + 6) + 3 = 6x(x + 2) Reorder the terms: 3x(6 + 2x) + 3 = 6x(x + 2) (6 * 3x + 2x * 3x) + 3 = 6x(x + 2) (18x + 6x2) + 3 = 6x(x + 2) Reorder the terms: 3 + 18x + 6x2 = 6x(x + 2) Reorder the terms: 3 + 18x + 6x2 = 6x(2 + x) 3 + 18x + 6x2 = (2 * 6x + x * 6x) 3 + 18x + 6x2 = (12x + 6x2) Add '-6x2' to each side of the equation. 3 + 18x + 6x2 + -6x2 = 12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 3 + 18x + 0 = 12x + 6x2 + -6x2 3 + 18x = 12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 3 + 18x = 12x + 0 3 + 18x = 12x Solving 3 + 18x = 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. 3 + 18x + -12x = 12x + -12x Combine like terms: 18x + -12x = 6x 3 + 6x = 12x + -12x Combine like terms: 12x + -12x = 0 3 + 6x = 0 Add '-3' to each side of the equation. 3 + -3 + 6x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 0 + -3 6x = 0 + -3 Combine like terms: 0 + -3 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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