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Simplifying 49 + 0.07x = 44 + 0.11x Solving 49 + 0.07x = 44 + 0.11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.11x' to each side of the equation. 49 + 0.07x + -0.11x = 44 + 0.11x + -0.11x Combine like terms: 0.07x + -0.11x = -0.04x 49 + -0.04x = 44 + 0.11x + -0.11x Combine like terms: 0.11x + -0.11x = 0.00 49 + -0.04x = 44 + 0.00 49 + -0.04x = 44 Add '-49' to each side of the equation. 49 + -49 + -0.04x = 44 + -49 Combine like terms: 49 + -49 = 0 0 + -0.04x = 44 + -49 -0.04x = 44 + -49 Combine like terms: 44 + -49 = -5 -0.04x = -5 Divide each side by '-0.04'. x = 125 Simplifying x = 125
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