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Simplifying 46 + 0.14x = 55 + 0.10x Solving 46 + 0.14x = 55 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 46 + 0.14x + -0.10x = 55 + 0.10x + -0.10x Combine like terms: 0.14x + -0.10x = 0.04x 46 + 0.04x = 55 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 46 + 0.04x = 55 + 0.00 46 + 0.04x = 55 Add '-46' to each side of the equation. 46 + -46 + 0.04x = 55 + -46 Combine like terms: 46 + -46 = 0 0 + 0.04x = 55 + -46 0.04x = 55 + -46 Combine like terms: 55 + -46 = 9 0.04x = 9 Divide each side by '0.04'. x = 225 Simplifying x = 225
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