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Simplifying 2.9(x + 8.1) = 7.8x + -3.95 Reorder the terms: 2.9(8.1 + x) = 7.8x + -3.95 (8.1 * 2.9 + x * 2.9) = 7.8x + -3.95 (23.49 + 2.9x) = 7.8x + -3.95 Reorder the terms: 23.49 + 2.9x = -3.95 + 7.8x Solving 23.49 + 2.9x = -3.95 + 7.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.8x' to each side of the equation. 23.49 + 2.9x + -7.8x = -3.95 + 7.8x + -7.8x Combine like terms: 2.9x + -7.8x = -4.9x 23.49 + -4.9x = -3.95 + 7.8x + -7.8x Combine like terms: 7.8x + -7.8x = 0.0 23.49 + -4.9x = -3.95 + 0.0 23.49 + -4.9x = -3.95 Add '-23.49' to each side of the equation. 23.49 + -23.49 + -4.9x = -3.95 + -23.49 Combine like terms: 23.49 + -23.49 = 0.00 0.00 + -4.9x = -3.95 + -23.49 -4.9x = -3.95 + -23.49 Combine like terms: -3.95 + -23.49 = -27.44 -4.9x = -27.44 Divide each side by '-4.9'. x = 5.6 Simplifying x = 5.6
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