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Simplifying 0.375(16x + -8) = 9 + -5(x + -2) Reorder the terms: 0.375(-8 + 16x) = 9 + -5(x + -2) (-8 * 0.375 + 16x * 0.375) = 9 + -5(x + -2) (-3 + 6x) = 9 + -5(x + -2) Reorder the terms: -3 + 6x = 9 + -5(-2 + x) -3 + 6x = 9 + (-2 * -5 + x * -5) -3 + 6x = 9 + (10 + -5x) Combine like terms: 9 + 10 = 19 -3 + 6x = 19 + -5x Solving -3 + 6x = 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. -3 + 6x + 5x = 19 + -5x + 5x Combine like terms: 6x + 5x = 11x -3 + 11x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 11x = 19 + 0 -3 + 11x = 19 Add '3' to each side of the equation. -3 + 3 + 11x = 19 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 19 + 3 11x = 19 + 3 Combine like terms: 19 + 3 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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