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Simplifying 30 + -40x = -5(4x + 5) + -5(-8 + -3x) Reorder the terms: 30 + -40x = -5(5 + 4x) + -5(-8 + -3x) 30 + -40x = (5 * -5 + 4x * -5) + -5(-8 + -3x) 30 + -40x = (-25 + -20x) + -5(-8 + -3x) 30 + -40x = -25 + -20x + (-8 * -5 + -3x * -5) 30 + -40x = -25 + -20x + (40 + 15x) Reorder the terms: 30 + -40x = -25 + 40 + -20x + 15x Combine like terms: -25 + 40 = 15 30 + -40x = 15 + -20x + 15x Combine like terms: -20x + 15x = -5x 30 + -40x = 15 + -5x Solving 30 + -40x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 30 + -40x + 5x = 15 + -5x + 5x Combine like terms: -40x + 5x = -35x 30 + -35x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + -35x = 15 + 0 30 + -35x = 15 Add '-30' to each side of the equation. 30 + -30 + -35x = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -35x = 15 + -30 -35x = 15 + -30 Combine like terms: 15 + -30 = -15 -35x = -15 Divide each side by '-35'. x = 0.4285714286 Simplifying x = 0.4285714286
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