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Simplifying 4.8(x + -3) = -0.2x + 20.6 Reorder the terms: 4.8(-3 + x) = -0.2x + 20.6 (-3 * 4.8 + x * 4.8) = -0.2x + 20.6 (-14.4 + 4.8x) = -0.2x + 20.6 Reorder the terms: -14.4 + 4.8x = 20.6 + -0.2x Solving -14.4 + 4.8x = 20.6 + -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. -14.4 + 4.8x + 0.2x = 20.6 + -0.2x + 0.2x Combine like terms: 4.8x + 0.2x = 5x -14.4 + 5x = 20.6 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -14.4 + 5x = 20.6 + 0.0 -14.4 + 5x = 20.6 Add '14.4' to each side of the equation. -14.4 + 14.4 + 5x = 20.6 + 14.4 Combine like terms: -14.4 + 14.4 = 0.0 0.0 + 5x = 20.6 + 14.4 5x = 20.6 + 14.4 Combine like terms: 20.6 + 14.4 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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