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Simplifying 37.5(16x + -8) = 9 + -5(x + -2) Reorder the terms: 37.5(-8 + 16x) = 9 + -5(x + -2) (-8 * 37.5 + 16x * 37.5) = 9 + -5(x + -2) (-300 + 600x) = 9 + -5(x + -2) Reorder the terms: -300 + 600x = 9 + -5(-2 + x) -300 + 600x = 9 + (-2 * -5 + x * -5) -300 + 600x = 9 + (10 + -5x) Combine like terms: 9 + 10 = 19 -300 + 600x = 19 + -5x Solving -300 + 600x = 19 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -300 + 600x + 5x = 19 + -5x + 5x Combine like terms: 600x + 5x = 605x -300 + 605x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 -300 + 605x = 19 + 0 -300 + 605x = 19 Add '300' to each side of the equation. -300 + 300 + 605x = 19 + 300 Combine like terms: -300 + 300 = 0 0 + 605x = 19 + 300 605x = 19 + 300 Combine like terms: 19 + 300 = 319 605x = 319 Divide each side by '605'. x = 0.5272727273 Simplifying x = 0.5272727273
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