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Simplifying 4.8(x + -2) = -0.2x + 30.4 Reorder the terms: 4.8(-2 + x) = -0.2x + 30.4 (-2 * 4.8 + x * 4.8) = -0.2x + 30.4 (-9.6 + 4.8x) = -0.2x + 30.4 Reorder the terms: -9.6 + 4.8x = 30.4 + -0.2x Solving -9.6 + 4.8x = 30.4 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -9.6 + 4.8x + 0.2x = 30.4 + -0.2x + 0.2x Combine like terms: 4.8x + 0.2x = 5x -9.6 + 5x = 30.4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -9.6 + 5x = 30.4 + 0.0 -9.6 + 5x = 30.4 Add '9.6' to each side of the equation. -9.6 + 9.6 + 5x = 30.4 + 9.6 Combine like terms: -9.6 + 9.6 = 0.0 0.0 + 5x = 30.4 + 9.6 5x = 30.4 + 9.6 Combine like terms: 30.4 + 9.6 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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