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Simplifying 4(5x + -1) + -1(7x + -5) = 9 + -1(3x + 4) Reorder the terms: 4(-1 + 5x) + -1(7x + -5) = 9 + -1(3x + 4) (-1 * 4 + 5x * 4) + -1(7x + -5) = 9 + -1(3x + 4) (-4 + 20x) + -1(7x + -5) = 9 + -1(3x + 4) Reorder the terms: -4 + 20x + -1(-5 + 7x) = 9 + -1(3x + 4) -4 + 20x + (-5 * -1 + 7x * -1) = 9 + -1(3x + 4) -4 + 20x + (5 + -7x) = 9 + -1(3x + 4) Reorder the terms: -4 + 5 + 20x + -7x = 9 + -1(3x + 4) Combine like terms: -4 + 5 = 1 1 + 20x + -7x = 9 + -1(3x + 4) Combine like terms: 20x + -7x = 13x 1 + 13x = 9 + -1(3x + 4) Reorder the terms: 1 + 13x = 9 + -1(4 + 3x) 1 + 13x = 9 + (4 * -1 + 3x * -1) 1 + 13x = 9 + (-4 + -3x) Combine like terms: 9 + -4 = 5 1 + 13x = 5 + -3x Solving 1 + 13x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 13x + 3x = 5 + -3x + 3x Combine like terms: 13x + 3x = 16x 1 + 16x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 16x = 5 + 0 1 + 16x = 5 Add '-1' to each side of the equation. 1 + -1 + 16x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 5 + -1 16x = 5 + -1 Combine like terms: 5 + -1 = 4 16x = 4 Divide each side by '16'. x = 0.25 Simplifying x = 0.25
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