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Simplifying 3.1416x + -3.4 = 4(x + -3.1416) Reorder the terms: -3.4 + 3.1416x = 4(x + -3.1416) Reorder the terms: -3.4 + 3.1416x = 4(-3.1416 + x) -3.4 + 3.1416x = (-3.1416 * 4 + x * 4) -3.4 + 3.1416x = (-12.5664 + 4x) Solving -3.4 + 3.1416x = -12.5664 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3.4 + 3.1416x + -4x = -12.5664 + 4x + -4x Combine like terms: 3.1416x + -4x = -0.8584x -3.4 + -0.8584x = -12.5664 + 4x + -4x Combine like terms: 4x + -4x = 0 -3.4 + -0.8584x = -12.5664 + 0 -3.4 + -0.8584x = -12.5664 Add '3.4' to each side of the equation. -3.4 + 3.4 + -0.8584x = -12.5664 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + -0.8584x = -12.5664 + 3.4 -0.8584x = -12.5664 + 3.4 Combine like terms: -12.5664 + 3.4 = -9.1664 -0.8584x = -9.1664 Divide each side by '-0.8584'. x = 10.67847158 Simplifying x = 10.67847158
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