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Simplifying -9(x + -4) + 8 = 4(3x + -2) + 8 Reorder the terms: -9(-4 + x) + 8 = 4(3x + -2) + 8 (-4 * -9 + x * -9) + 8 = 4(3x + -2) + 8 (36 + -9x) + 8 = 4(3x + -2) + 8 Reorder the terms: 36 + 8 + -9x = 4(3x + -2) + 8 Combine like terms: 36 + 8 = 44 44 + -9x = 4(3x + -2) + 8 Reorder the terms: 44 + -9x = 4(-2 + 3x) + 8 44 + -9x = (-2 * 4 + 3x * 4) + 8 44 + -9x = (-8 + 12x) + 8 Reorder the terms: 44 + -9x = -8 + 8 + 12x Combine like terms: -8 + 8 = 0 44 + -9x = 0 + 12x 44 + -9x = 12x Solving 44 + -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. 44 + -9x + -12x = 12x + -12x Combine like terms: -9x + -12x = -21x 44 + -21x = 12x + -12x Combine like terms: 12x + -12x = 0 44 + -21x = 0 Add '-44' to each side of the equation. 44 + -44 + -21x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -21x = 0 + -44 -21x = 0 + -44 Combine like terms: 0 + -44 = -44 -21x = -44 Divide each side by '-21'. x = 2.095238095 Simplifying x = 2.095238095
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