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Simplifying 1.6x + -5.7 + -4.2(5.9 + -2.6x) = 4.1(5.1 + -2.3x) 1.6x + -5.7 + (5.9 * -4.2 + -2.6x * -4.2) = 4.1(5.1 + -2.3x) 1.6x + -5.7 + (-24.78 + 10.92x) = 4.1(5.1 + -2.3x) Reorder the terms: -5.7 + -24.78 + 1.6x + 10.92x = 4.1(5.1 + -2.3x) Combine like terms: -5.7 + -24.78 = -30.48 -30.48 + 1.6x + 10.92x = 4.1(5.1 + -2.3x) Combine like terms: 1.6x + 10.92x = 12.52x -30.48 + 12.52x = 4.1(5.1 + -2.3x) -30.48 + 12.52x = (5.1 * 4.1 + -2.3x * 4.1) -30.48 + 12.52x = (20.91 + -9.43x) Solving -30.48 + 12.52x = 20.91 + -9.43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.43x' to each side of the equation. -30.48 + 12.52x + 9.43x = 20.91 + -9.43x + 9.43x Combine like terms: 12.52x + 9.43x = 21.95x -30.48 + 21.95x = 20.91 + -9.43x + 9.43x Combine like terms: -9.43x + 9.43x = 0.00 -30.48 + 21.95x = 20.91 + 0.00 -30.48 + 21.95x = 20.91 Add '30.48' to each side of the equation. -30.48 + 30.48 + 21.95x = 20.91 + 30.48 Combine like terms: -30.48 + 30.48 = 0.00 0.00 + 21.95x = 20.91 + 30.48 21.95x = 20.91 + 30.48 Combine like terms: 20.91 + 30.48 = 51.39 21.95x = 51.39 Divide each side by '21.95'. x = 2.341230068 Simplifying x = 2.341230068
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