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Simplifying 6(x + -7.6) = 8.4 Reorder the terms: 6(-7.6 + x) = 8.4 (-7.6 * 6 + x * 6) = 8.4 (-45.6 + 6x) = 8.4 Solving -45.6 + 6x = 8.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45.6' to each side of the equation. -45.6 + 45.6 + 6x = 8.4 + 45.6 Combine like terms: -45.6 + 45.6 = 0.0 0.0 + 6x = 8.4 + 45.6 6x = 8.4 + 45.6 Combine like terms: 8.4 + 45.6 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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