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Simplifying 3.8(16x + -8) = 9 + -5(x + -2) Reorder the terms: 3.8(-8 + 16x) = 9 + -5(x + -2) (-8 * 3.8 + 16x * 3.8) = 9 + -5(x + -2) (-30.4 + 60.8x) = 9 + -5(x + -2) Reorder the terms: -30.4 + 60.8x = 9 + -5(-2 + x) -30.4 + 60.8x = 9 + (-2 * -5 + x * -5) -30.4 + 60.8x = 9 + (10 + -5x) Combine like terms: 9 + 10 = 19 -30.4 + 60.8x = 19 + -5x Solving -30.4 + 60.8x = 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. -30.4 + 60.8x + 5x = 19 + -5x + 5x Combine like terms: 60.8x + 5x = 65.8x -30.4 + 65.8x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 -30.4 + 65.8x = 19 + 0 -30.4 + 65.8x = 19 Add '30.4' to each side of the equation. -30.4 + 30.4 + 65.8x = 19 + 30.4 Combine like terms: -30.4 + 30.4 = 0.0 0.0 + 65.8x = 19 + 30.4 65.8x = 19 + 30.4 Combine like terms: 19 + 30.4 = 49.4 65.8x = 49.4 Divide each side by '65.8'. x = 0.7507598784 Simplifying x = 0.7507598784
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