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Simplifying 5.15x + 46.35 = 2.06x + 18.54 Reorder the terms: 46.35 + 5.15x = 2.06x + 18.54 Reorder the terms: 46.35 + 5.15x = 18.54 + 2.06x Solving 46.35 + 5.15x = 18.54 + 2.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.06x' to each side of the equation. 46.35 + 5.15x + -2.06x = 18.54 + 2.06x + -2.06x Combine like terms: 5.15x + -2.06x = 3.09x 46.35 + 3.09x = 18.54 + 2.06x + -2.06x Combine like terms: 2.06x + -2.06x = 0.00 46.35 + 3.09x = 18.54 + 0.00 46.35 + 3.09x = 18.54 Add '-46.35' to each side of the equation. 46.35 + -46.35 + 3.09x = 18.54 + -46.35 Combine like terms: 46.35 + -46.35 = 0.00 0.00 + 3.09x = 18.54 + -46.35 3.09x = 18.54 + -46.35 Combine like terms: 18.54 + -46.35 = -27.81 3.09x = -27.81 Divide each side by '3.09'. x = -9 Simplifying x = -9
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