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Simplifying 40 + -4x = 5(4x + 3) + -5(-8 + -3x) Reorder the terms: 40 + -4x = 5(3 + 4x) + -5(-8 + -3x) 40 + -4x = (3 * 5 + 4x * 5) + -5(-8 + -3x) 40 + -4x = (15 + 20x) + -5(-8 + -3x) 40 + -4x = 15 + 20x + (-8 * -5 + -3x * -5) 40 + -4x = 15 + 20x + (40 + 15x) Reorder the terms: 40 + -4x = 15 + 40 + 20x + 15x Combine like terms: 15 + 40 = 55 40 + -4x = 55 + 20x + 15x Combine like terms: 20x + 15x = 35x 40 + -4x = 55 + 35x Solving 40 + -4x = 55 + 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. 40 + -4x + -35x = 55 + 35x + -35x Combine like terms: -4x + -35x = -39x 40 + -39x = 55 + 35x + -35x Combine like terms: 35x + -35x = 0 40 + -39x = 55 + 0 40 + -39x = 55 Add '-40' to each side of the equation. 40 + -40 + -39x = 55 + -40 Combine like terms: 40 + -40 = 0 0 + -39x = 55 + -40 -39x = 55 + -40 Combine like terms: 55 + -40 = 15 -39x = 15 Divide each side by '-39'. x = -0.3846153846 Simplifying x = -0.3846153846
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