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Simplifying 13.05 + 0.12x = 13.55 + 0.08x Solving 13.05 + 0.12x = 13.55 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 13.05 + 0.12x + -0.08x = 13.55 + 0.08x + -0.08x Combine like terms: 0.12x + -0.08x = 0.04x 13.05 + 0.04x = 13.55 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 13.05 + 0.04x = 13.55 + 0.00 13.05 + 0.04x = 13.55 Add '-13.05' to each side of the equation. 13.05 + -13.05 + 0.04x = 13.55 + -13.05 Combine like terms: 13.05 + -13.05 = 0.00 0.00 + 0.04x = 13.55 + -13.05 0.04x = 13.55 + -13.05 Combine like terms: 13.55 + -13.05 = 0.5 0.04x = 0.5 Divide each side by '0.04'. x = 12.5 Simplifying x = 12.5
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