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Simplifying 55 = -5(5 + -4x) + 8(-4x + -3) 55 = (5 * -5 + -4x * -5) + 8(-4x + -3) 55 = (-25 + 20x) + 8(-4x + -3) Reorder the terms: 55 = -25 + 20x + 8(-3 + -4x) 55 = -25 + 20x + (-3 * 8 + -4x * 8) 55 = -25 + 20x + (-24 + -32x) Reorder the terms: 55 = -25 + -24 + 20x + -32x Combine like terms: -25 + -24 = -49 55 = -49 + 20x + -32x Combine like terms: 20x + -32x = -12x 55 = -49 + -12x Solving 55 = -49 + -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. 55 + 12x = -49 + -12x + 12x Combine like terms: -12x + 12x = 0 55 + 12x = -49 + 0 55 + 12x = -49 Add '-55' to each side of the equation. 55 + -55 + 12x = -49 + -55 Combine like terms: 55 + -55 = 0 0 + 12x = -49 + -55 12x = -49 + -55 Combine like terms: -49 + -55 = -104 12x = -104 Divide each side by '12'. x = -8.666666667 Simplifying x = -8.666666667
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