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Simplifying 15 + 0.09x = 10 + 0.13x Solving 15 + 0.09x = 10 + 0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13x' to each side of the equation. 15 + 0.09x + -0.13x = 10 + 0.13x + -0.13x Combine like terms: 0.09x + -0.13x = -0.04x 15 + -0.04x = 10 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 15 + -0.04x = 10 + 0.00 15 + -0.04x = 10 Add '-15' to each side of the equation. 15 + -15 + -0.04x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -0.04x = 10 + -15 -0.04x = 10 + -15 Combine like terms: 10 + -15 = -5 -0.04x = -5 Divide each side by '-0.04'. x = 125 Simplifying x = 125
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