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Simplifying 2(3 + -4x) + -1(5 + -3x) = 4(5x + 4) + -10 (3 * 2 + -4x * 2) + -1(5 + -3x) = 4(5x + 4) + -10 (6 + -8x) + -1(5 + -3x) = 4(5x + 4) + -10 6 + -8x + (5 * -1 + -3x * -1) = 4(5x + 4) + -10 6 + -8x + (-5 + 3x) = 4(5x + 4) + -10 Reorder the terms: 6 + -5 + -8x + 3x = 4(5x + 4) + -10 Combine like terms: 6 + -5 = 1 1 + -8x + 3x = 4(5x + 4) + -10 Combine like terms: -8x + 3x = -5x 1 + -5x = 4(5x + 4) + -10 Reorder the terms: 1 + -5x = 4(4 + 5x) + -10 1 + -5x = (4 * 4 + 5x * 4) + -10 1 + -5x = (16 + 20x) + -10 Reorder the terms: 1 + -5x = 16 + -10 + 20x Combine like terms: 16 + -10 = 6 1 + -5x = 6 + 20x Solving 1 + -5x = 6 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 1 + -5x + -20x = 6 + 20x + -20x Combine like terms: -5x + -20x = -25x 1 + -25x = 6 + 20x + -20x Combine like terms: 20x + -20x = 0 1 + -25x = 6 + 0 1 + -25x = 6 Add '-1' to each side of the equation. 1 + -1 + -25x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -25x = 6 + -1 -25x = 6 + -1 Combine like terms: 6 + -1 = 5 -25x = 5 Divide each side by '-25'. x = -0.2 Simplifying x = -0.2
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