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Simplifying 49 + 0.13x = 40 + 0.15x Solving 49 + 0.13x = 40 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 49 + 0.13x + -0.15x = 40 + 0.15x + -0.15x Combine like terms: 0.13x + -0.15x = -0.02x 49 + -0.02x = 40 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 49 + -0.02x = 40 + 0.00 49 + -0.02x = 40 Add '-49' to each side of the equation. 49 + -49 + -0.02x = 40 + -49 Combine like terms: 49 + -49 = 0 0 + -0.02x = 40 + -49 -0.02x = 40 + -49 Combine like terms: 40 + -49 = -9 -0.02x = -9 Divide each side by '-0.02'. x = 450 Simplifying x = 450
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