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Simplifying 3x(2x + -6) + 13 = 2x(3x + 4) Reorder the terms: 3x(-6 + 2x) + 13 = 2x(3x + 4) (-6 * 3x + 2x * 3x) + 13 = 2x(3x + 4) (-18x + 6x2) + 13 = 2x(3x + 4) Reorder the terms: 13 + -18x + 6x2 = 2x(3x + 4) Reorder the terms: 13 + -18x + 6x2 = 2x(4 + 3x) 13 + -18x + 6x2 = (4 * 2x + 3x * 2x) 13 + -18x + 6x2 = (8x + 6x2) Add '-6x2' to each side of the equation. 13 + -18x + 6x2 + -6x2 = 8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 13 + -18x + 0 = 8x + 6x2 + -6x2 13 + -18x = 8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 13 + -18x = 8x + 0 13 + -18x = 8x Solving 13 + -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. 13 + -18x + -8x = 8x + -8x Combine like terms: -18x + -8x = -26x 13 + -26x = 8x + -8x Combine like terms: 8x + -8x = 0 13 + -26x = 0 Add '-13' to each side of the equation. 13 + -13 + -26x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -26x = 0 + -13 -26x = 0 + -13 Combine like terms: 0 + -13 = -13 -26x = -13 Divide each side by '-26'. x = 0.5 Simplifying x = 0.5
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