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Simplifying 8 + -1x(5x + -9) = 3x + -5x(x + 3) Reorder the terms: 8 + -1x(-9 + 5x) = 3x + -5x(x + 3) 8 + (-9 * -1x + 5x * -1x) = 3x + -5x(x + 3) 8 + (9x + -5x2) = 3x + -5x(x + 3) Reorder the terms: 8 + 9x + -5x2 = 3x + -5x(3 + x) 8 + 9x + -5x2 = 3x + (3 * -5x + x * -5x) 8 + 9x + -5x2 = 3x + (-15x + -5x2) Combine like terms: 3x + -15x = -12x 8 + 9x + -5x2 = -12x + -5x2 Add '5x2' to each side of the equation. 8 + 9x + -5x2 + 5x2 = -12x + -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 8 + 9x + 0 = -12x + -5x2 + 5x2 8 + 9x = -12x + -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 8 + 9x = -12x + 0 8 + 9x = -12x Solving 8 + 9x = -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. 8 + 9x + 12x = -12x + 12x Combine like terms: 9x + 12x = 21x 8 + 21x = -12x + 12x Combine like terms: -12x + 12x = 0 8 + 21x = 0 Add '-8' to each side of the equation. 8 + -8 + 21x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 21x = 0 + -8 21x = 0 + -8 Combine like terms: 0 + -8 = -8 21x = -8 Divide each side by '21'. x = -0.380952381 Simplifying x = -0.380952381
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