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Simplifying 3x(2x + -6) + 4 = 2x(3x + 4) Reorder the terms: 3x(-6 + 2x) + 4 = 2x(3x + 4) (-6 * 3x + 2x * 3x) + 4 = 2x(3x + 4) (-18x + 6x2) + 4 = 2x(3x + 4) Reorder the terms: 4 + -18x + 6x2 = 2x(3x + 4) Reorder the terms: 4 + -18x + 6x2 = 2x(4 + 3x) 4 + -18x + 6x2 = (4 * 2x + 3x * 2x) 4 + -18x + 6x2 = (8x + 6x2) Add '-6x2' to each side of the equation. 4 + -18x + 6x2 + -6x2 = 8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 4 + -18x + 0 = 8x + 6x2 + -6x2 4 + -18x = 8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 4 + -18x = 8x + 0 4 + -18x = 8x Solving 4 + -18x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + -18x + -8x = 8x + -8x Combine like terms: -18x + -8x = -26x 4 + -26x = 8x + -8x Combine like terms: 8x + -8x = 0 4 + -26x = 0 Add '-4' to each side of the equation. 4 + -4 + -26x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -26x = 0 + -4 -26x = 0 + -4 Combine like terms: 0 + -4 = -4 -26x = -4 Divide each side by '-26'. x = 0.1538461538 Simplifying x = 0.1538461538
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