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Simplifying (4(5x + -1)) + -1(5(2x + -4)) = 9x + 15 Reorder the terms: (4(-1 + 5x)) + -1(5(2x + -4)) = 9x + 15 ((-1 * 4 + 5x * 4)) + -1(5(2x + -4)) = 9x + 15 ((-4 + 20x)) + -1(5(2x + -4)) = 9x + 15 (-4 + 20x) + -1(5(2x + -4)) = 9x + 15 Remove parenthesis around (-4 + 20x) -4 + 20x + -1(5(2x + -4)) = 9x + 15 Reorder the terms: -4 + 20x + -1(5(-4 + 2x)) = 9x + 15 -4 + 20x + -1((-4 * 5 + 2x * 5)) = 9x + 15 -4 + 20x + -1((-20 + 10x)) = 9x + 15 -4 + 20x + (-20 * -1 + 10x * -1) = 9x + 15 -4 + 20x + (20 + -10x) = 9x + 15 Reorder the terms: -4 + 20 + 20x + -10x = 9x + 15 Combine like terms: -4 + 20 = 16 16 + 20x + -10x = 9x + 15 Combine like terms: 20x + -10x = 10x 16 + 10x = 9x + 15 Reorder the terms: 16 + 10x = 15 + 9x Solving 16 + 10x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 16 + 10x + -9x = 15 + 9x + -9x Combine like terms: 10x + -9x = 1x 16 + 1x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 16 + 1x = 15 + 0 16 + 1x = 15 Add '-16' to each side of the equation. 16 + -16 + 1x = 15 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 15 + -16 1x = 15 + -16 Combine like terms: 15 + -16 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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