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Simplifying 8 + -6(2x + -8) + -5x = 9 + -5(3 + 4x) Reorder the terms: 8 + -6(-8 + 2x) + -5x = 9 + -5(3 + 4x) 8 + (-8 * -6 + 2x * -6) + -5x = 9 + -5(3 + 4x) 8 + (48 + -12x) + -5x = 9 + -5(3 + 4x) Combine like terms: 8 + 48 = 56 56 + -12x + -5x = 9 + -5(3 + 4x) Combine like terms: -12x + -5x = -17x 56 + -17x = 9 + -5(3 + 4x) 56 + -17x = 9 + (3 * -5 + 4x * -5) 56 + -17x = 9 + (-15 + -20x) Combine like terms: 9 + -15 = -6 56 + -17x = -6 + -20x Solving 56 + -17x = -6 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 56 + -17x + 20x = -6 + -20x + 20x Combine like terms: -17x + 20x = 3x 56 + 3x = -6 + -20x + 20x Combine like terms: -20x + 20x = 0 56 + 3x = -6 + 0 56 + 3x = -6 Add '-56' to each side of the equation. 56 + -56 + 3x = -6 + -56 Combine like terms: 56 + -56 = 0 0 + 3x = -6 + -56 3x = -6 + -56 Combine like terms: -6 + -56 = -62 3x = -62 Divide each side by '3'. x = -20.66666667 Simplifying x = -20.66666667
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