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Simplifying 12 + -6x2 = (2x + 3)(5 + -3x) Reorder the terms: 12 + -6x2 = (3 + 2x)(5 + -3x) Multiply (3 + 2x) * (5 + -3x) 12 + -6x2 = (3(5 + -3x) + 2x * (5 + -3x)) 12 + -6x2 = ((5 * 3 + -3x * 3) + 2x * (5 + -3x)) 12 + -6x2 = ((15 + -9x) + 2x * (5 + -3x)) 12 + -6x2 = (15 + -9x + (5 * 2x + -3x * 2x)) 12 + -6x2 = (15 + -9x + (10x + -6x2)) Combine like terms: -9x + 10x = 1x 12 + -6x2 = (15 + 1x + -6x2) Add '6x2' to each side of the equation. 12 + -6x2 + 6x2 = 15 + 1x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 12 + 0 = 15 + 1x + -6x2 + 6x2 12 = 15 + 1x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 12 = 15 + 1x + 0 12 = 15 + 1x Solving 12 = 15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -1x = 15 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + -1x = 15 + 0 12 + -1x = 15 Add '-12' to each side of the equation. 12 + -12 + -1x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 15 + -12 -1x = 15 + -12 Combine like terms: 15 + -12 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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