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Simplifying 4(5x + -1) + -5(2x + 1) = 15(3x + -1) Reorder the terms: 4(-1 + 5x) + -5(2x + 1) = 15(3x + -1) (-1 * 4 + 5x * 4) + -5(2x + 1) = 15(3x + -1) (-4 + 20x) + -5(2x + 1) = 15(3x + -1) Reorder the terms: -4 + 20x + -5(1 + 2x) = 15(3x + -1) -4 + 20x + (1 * -5 + 2x * -5) = 15(3x + -1) -4 + 20x + (-5 + -10x) = 15(3x + -1) Reorder the terms: -4 + -5 + 20x + -10x = 15(3x + -1) Combine like terms: -4 + -5 = -9 -9 + 20x + -10x = 15(3x + -1) Combine like terms: 20x + -10x = 10x -9 + 10x = 15(3x + -1) Reorder the terms: -9 + 10x = 15(-1 + 3x) -9 + 10x = (-1 * 15 + 3x * 15) -9 + 10x = (-15 + 45x) Solving -9 + 10x = -15 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -9 + 10x + -45x = -15 + 45x + -45x Combine like terms: 10x + -45x = -35x -9 + -35x = -15 + 45x + -45x Combine like terms: 45x + -45x = 0 -9 + -35x = -15 + 0 -9 + -35x = -15 Add '9' to each side of the equation. -9 + 9 + -35x = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -35x = -15 + 9 -35x = -15 + 9 Combine like terms: -15 + 9 = -6 -35x = -6 Divide each side by '-35'. x = 0.1714285714 Simplifying x = 0.1714285714
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