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Simplifying 8.4x + 46.37 = 11.6x + 45.29 Reorder the terms: 46.37 + 8.4x = 11.6x + 45.29 Reorder the terms: 46.37 + 8.4x = 45.29 + 11.6x Solving 46.37 + 8.4x = 45.29 + 11.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.6x' to each side of the equation. 46.37 + 8.4x + -11.6x = 45.29 + 11.6x + -11.6x Combine like terms: 8.4x + -11.6x = -3.2x 46.37 + -3.2x = 45.29 + 11.6x + -11.6x Combine like terms: 11.6x + -11.6x = 0.0 46.37 + -3.2x = 45.29 + 0.0 46.37 + -3.2x = 45.29 Add '-46.37' to each side of the equation. 46.37 + -46.37 + -3.2x = 45.29 + -46.37 Combine like terms: 46.37 + -46.37 = 0.00 0.00 + -3.2x = 45.29 + -46.37 -3.2x = 45.29 + -46.37 Combine like terms: 45.29 + -46.37 = -1.08 -3.2x = -1.08 Divide each side by '-3.2'. x = 0.3375 Simplifying x = 0.3375
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