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Simplifying 0.81x + -0.46 = 7.95 + -2.09x Reorder the terms: -0.46 + 0.81x = 7.95 + -2.09x Solving -0.46 + 0.81x = 7.95 + -2.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.09x' to each side of the equation. -0.46 + 0.81x + 2.09x = 7.95 + -2.09x + 2.09x Combine like terms: 0.81x + 2.09x = 2.9x -0.46 + 2.9x = 7.95 + -2.09x + 2.09x Combine like terms: -2.09x + 2.09x = 0.00 -0.46 + 2.9x = 7.95 + 0.00 -0.46 + 2.9x = 7.95 Add '0.46' to each side of the equation. -0.46 + 0.46 + 2.9x = 7.95 + 0.46 Combine like terms: -0.46 + 0.46 = 0.00 0.00 + 2.9x = 7.95 + 0.46 2.9x = 7.95 + 0.46 Combine like terms: 7.95 + 0.46 = 8.41 2.9x = 8.41 Divide each side by '2.9'. x = 2.9 Simplifying x = 2.9
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