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Simplifying 0.12x + 18 = 0.08x + 25 Reorder the terms: 18 + 0.12x = 0.08x + 25 Reorder the terms: 18 + 0.12x = 25 + 0.08x Solving 18 + 0.12x = 25 + 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. 18 + 0.12x + -0.08x = 25 + 0.08x + -0.08x Combine like terms: 0.12x + -0.08x = 0.04x 18 + 0.04x = 25 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 18 + 0.04x = 25 + 0.00 18 + 0.04x = 25 Add '-18' to each side of the equation. 18 + -18 + 0.04x = 25 + -18 Combine like terms: 18 + -18 = 0 0 + 0.04x = 25 + -18 0.04x = 25 + -18 Combine like terms: 25 + -18 = 7 0.04x = 7 Divide each side by '0.04'. x = 175 Simplifying x = 175
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