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Simplifying 27 + -4x = -5(4x + 5) + -5(-8 + 3x) Reorder the terms: 27 + -4x = -5(5 + 4x) + -5(-8 + 3x) 27 + -4x = (5 * -5 + 4x * -5) + -5(-8 + 3x) 27 + -4x = (-25 + -20x) + -5(-8 + 3x) 27 + -4x = -25 + -20x + (-8 * -5 + 3x * -5) 27 + -4x = -25 + -20x + (40 + -15x) Reorder the terms: 27 + -4x = -25 + 40 + -20x + -15x Combine like terms: -25 + 40 = 15 27 + -4x = 15 + -20x + -15x Combine like terms: -20x + -15x = -35x 27 + -4x = 15 + -35x Solving 27 + -4x = 15 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 27 + -4x + 35x = 15 + -35x + 35x Combine like terms: -4x + 35x = 31x 27 + 31x = 15 + -35x + 35x Combine like terms: -35x + 35x = 0 27 + 31x = 15 + 0 27 + 31x = 15 Add '-27' to each side of the equation. 27 + -27 + 31x = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 31x = 15 + -27 31x = 15 + -27 Combine like terms: 15 + -27 = -12 31x = -12 Divide each side by '31'. x = -0.3870967742 Simplifying x = -0.3870967742
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