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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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