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Simplifying 8(5 + -4x) + 5 = -5(11x + -9) + 13x (5 * 8 + -4x * 8) + 5 = -5(11x + -9) + 13x (40 + -32x) + 5 = -5(11x + -9) + 13x Reorder the terms: 40 + 5 + -32x = -5(11x + -9) + 13x Combine like terms: 40 + 5 = 45 45 + -32x = -5(11x + -9) + 13x Reorder the terms: 45 + -32x = -5(-9 + 11x) + 13x 45 + -32x = (-9 * -5 + 11x * -5) + 13x 45 + -32x = (45 + -55x) + 13x Combine like terms: -55x + 13x = -42x 45 + -32x = 45 + -42x Add '-45' to each side of the equation. 45 + -45 + -32x = 45 + -45 + -42x Combine like terms: 45 + -45 = 0 0 + -32x = 45 + -45 + -42x -32x = 45 + -45 + -42x Combine like terms: 45 + -45 = 0 -32x = 0 + -42x -32x = -42x Solving -32x = -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -32x + 42x = -42x + 42x Combine like terms: -32x + 42x = 10x 10x = -42x + 42x Combine like terms: -42x + 42x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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