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Simplifying 7.8(x + -1) = -0.2 + 48.2 Reorder the terms: 7.8(-1 + x) = -0.2 + 48.2 (-1 * 7.8 + x * 7.8) = -0.2 + 48.2 (-7.8 + 7.8x) = -0.2 + 48.2 Combine like terms: -0.2 + 48.2 = 48 -7.8 + 7.8x = 48 Solving -7.8 + 7.8x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.8' to each side of the equation. -7.8 + 7.8 + 7.8x = 48 + 7.8 Combine like terms: -7.8 + 7.8 = 0.0 0.0 + 7.8x = 48 + 7.8 7.8x = 48 + 7.8 Combine like terms: 48 + 7.8 = 55.8 7.8x = 55.8 Divide each side by '7.8'. x = 7.153846154 Simplifying x = 7.153846154
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