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Simplifying 4(0.13x + 2.23606798) = 2.82842712x + 8 Reorder the terms: 4(2.23606798 + 0.13x) = 2.82842712x + 8 (2.23606798 * 4 + 0.13x * 4) = 2.82842712x + 8 (8.94427192 + 0.52x) = 2.82842712x + 8 Reorder the terms: 8.94427192 + 0.52x = 8 + 2.82842712x Solving 8.94427192 + 0.52x = 8 + 2.82842712x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.82842712x' to each side of the equation. 8.94427192 + 0.52x + -2.82842712x = 8 + 2.82842712x + -2.82842712x Combine like terms: 0.52x + -2.82842712x = -2.30842712x 8.94427192 + -2.30842712x = 8 + 2.82842712x + -2.82842712x Combine like terms: 2.82842712x + -2.82842712x = 0.00000000 8.94427192 + -2.30842712x = 8 + 0.00000000 8.94427192 + -2.30842712x = 8 Add '-8.94427192' to each side of the equation. 8.94427192 + -8.94427192 + -2.30842712x = 8 + -8.94427192 Combine like terms: 8.94427192 + -8.94427192 = 0.00000000 0.00000000 + -2.30842712x = 8 + -8.94427192 -2.30842712x = 8 + -8.94427192 Combine like terms: 8 + -8.94427192 = -0.94427192 -2.30842712x = -0.94427192 Divide each side by '-2.30842712'. x = 0.4090542482 Simplifying x = 0.4090542482
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