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Simplifying 4.8(x + -1) = -0.2x + 30.2 Reorder the terms: 4.8(-1 + x) = -0.2x + 30.2 (-1 * 4.8 + x * 4.8) = -0.2x + 30.2 (-4.8 + 4.8x) = -0.2x + 30.2 Reorder the terms: -4.8 + 4.8x = 30.2 + -0.2x Solving -4.8 + 4.8x = 30.2 + -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. -4.8 + 4.8x + 0.2x = 30.2 + -0.2x + 0.2x Combine like terms: 4.8x + 0.2x = 5x -4.8 + 5x = 30.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -4.8 + 5x = 30.2 + 0.0 -4.8 + 5x = 30.2 Add '4.8' to each side of the equation. -4.8 + 4.8 + 5x = 30.2 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 5x = 30.2 + 4.8 5x = 30.2 + 4.8 Combine like terms: 30.2 + 4.8 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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