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Simplifying 4(2x + 5) + -1(3x + -6) = 1 Reorder the terms: 4(5 + 2x) + -1(3x + -6) = 1 (5 * 4 + 2x * 4) + -1(3x + -6) = 1 (20 + 8x) + -1(3x + -6) = 1 Reorder the terms: 20 + 8x + -1(-6 + 3x) = 1 20 + 8x + (-6 * -1 + 3x * -1) = 1 20 + 8x + (6 + -3x) = 1 Reorder the terms: 20 + 6 + 8x + -3x = 1 Combine like terms: 20 + 6 = 26 26 + 8x + -3x = 1 Combine like terms: 8x + -3x = 5x 26 + 5x = 1 Solving 26 + 5x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 5x = 1 + -26 Combine like terms: 26 + -26 = 0 0 + 5x = 1 + -26 5x = 1 + -26 Combine like terms: 1 + -26 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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