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Simplifying 10.4x + 43.06 = -9.6x + 42.48 Reorder the terms: 43.06 + 10.4x = -9.6x + 42.48 Reorder the terms: 43.06 + 10.4x = 42.48 + -9.6x Solving 43.06 + 10.4x = 42.48 + -9.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.6x' to each side of the equation. 43.06 + 10.4x + 9.6x = 42.48 + -9.6x + 9.6x Combine like terms: 10.4x + 9.6x = 20x 43.06 + 20x = 42.48 + -9.6x + 9.6x Combine like terms: -9.6x + 9.6x = 0.0 43.06 + 20x = 42.48 + 0.0 43.06 + 20x = 42.48 Add '-43.06' to each side of the equation. 43.06 + -43.06 + 20x = 42.48 + -43.06 Combine like terms: 43.06 + -43.06 = 0.00 0.00 + 20x = 42.48 + -43.06 20x = 42.48 + -43.06 Combine like terms: 42.48 + -43.06 = -0.58 20x = -0.58 Divide each side by '20'. x = -0.029 Simplifying x = -0.029
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