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Simplifying 8.88(x + -3.2) = 7.93(x + 10.2) Reorder the terms: 8.88(-3.2 + x) = 7.93(x + 10.2) (-3.2 * 8.88 + x * 8.88) = 7.93(x + 10.2) (-28.416 + 8.88x) = 7.93(x + 10.2) Reorder the terms: -28.416 + 8.88x = 7.93(10.2 + x) -28.416 + 8.88x = (10.2 * 7.93 + x * 7.93) -28.416 + 8.88x = (80.886 + 7.93x) Solving -28.416 + 8.88x = 80.886 + 7.93x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.93x' to each side of the equation. -28.416 + 8.88x + -7.93x = 80.886 + 7.93x + -7.93x Combine like terms: 8.88x + -7.93x = 0.95x -28.416 + 0.95x = 80.886 + 7.93x + -7.93x Combine like terms: 7.93x + -7.93x = 0.00 -28.416 + 0.95x = 80.886 + 0.00 -28.416 + 0.95x = 80.886 Add '28.416' to each side of the equation. -28.416 + 28.416 + 0.95x = 80.886 + 28.416 Combine like terms: -28.416 + 28.416 = 0.000 0.000 + 0.95x = 80.886 + 28.416 0.95x = 80.886 + 28.416 Combine like terms: 80.886 + 28.416 = 109.302 0.95x = 109.302 Divide each side by '0.95'. x = 115.0547368 Simplifying x = 115.0547368
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