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Simplifying 4(3 + -2x) + -5(4x + -9) = 13(2x + -5) + -4 (3 * 4 + -2x * 4) + -5(4x + -9) = 13(2x + -5) + -4 (12 + -8x) + -5(4x + -9) = 13(2x + -5) + -4 Reorder the terms: 12 + -8x + -5(-9 + 4x) = 13(2x + -5) + -4 12 + -8x + (-9 * -5 + 4x * -5) = 13(2x + -5) + -4 12 + -8x + (45 + -20x) = 13(2x + -5) + -4 Reorder the terms: 12 + 45 + -8x + -20x = 13(2x + -5) + -4 Combine like terms: 12 + 45 = 57 57 + -8x + -20x = 13(2x + -5) + -4 Combine like terms: -8x + -20x = -28x 57 + -28x = 13(2x + -5) + -4 Reorder the terms: 57 + -28x = 13(-5 + 2x) + -4 57 + -28x = (-5 * 13 + 2x * 13) + -4 57 + -28x = (-65 + 26x) + -4 Reorder the terms: 57 + -28x = -65 + -4 + 26x Combine like terms: -65 + -4 = -69 57 + -28x = -69 + 26x Solving 57 + -28x = -69 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 57 + -28x + -26x = -69 + 26x + -26x Combine like terms: -28x + -26x = -54x 57 + -54x = -69 + 26x + -26x Combine like terms: 26x + -26x = 0 57 + -54x = -69 + 0 57 + -54x = -69 Add '-57' to each side of the equation. 57 + -57 + -54x = -69 + -57 Combine like terms: 57 + -57 = 0 0 + -54x = -69 + -57 -54x = -69 + -57 Combine like terms: -69 + -57 = -126 -54x = -126 Divide each side by '-54'. x = 2.333333333 Simplifying x = 2.333333333
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