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Simplifying -6x(3 + -5x) + 8x = 3x(10x + -4) + -28 (3 * -6x + -5x * -6x) + 8x = 3x(10x + -4) + -28 (-18x + 30x2) + 8x = 3x(10x + -4) + -28 Reorder the terms: -18x + 8x + 30x2 = 3x(10x + -4) + -28 Combine like terms: -18x + 8x = -10x -10x + 30x2 = 3x(10x + -4) + -28 Reorder the terms: -10x + 30x2 = 3x(-4 + 10x) + -28 -10x + 30x2 = (-4 * 3x + 10x * 3x) + -28 -10x + 30x2 = (-12x + 30x2) + -28 Reorder the terms: -10x + 30x2 = -28 + -12x + 30x2 Add '-30x2' to each side of the equation. -10x + 30x2 + -30x2 = -28 + -12x + 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 -10x + 0 = -28 + -12x + 30x2 + -30x2 -10x = -28 + -12x + 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 -10x = -28 + -12x + 0 -10x = -28 + -12x Solving -10x = -28 + -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. -10x + 12x = -28 + -12x + 12x Combine like terms: -10x + 12x = 2x 2x = -28 + -12x + 12x Combine like terms: -12x + 12x = 0 2x = -28 + 0 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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