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Simplifying 0.12x + 7.5 = 0.2x + 3 Reorder the terms: 7.5 + 0.12x = 0.2x + 3 Reorder the terms: 7.5 + 0.12x = 3 + 0.2x Solving 7.5 + 0.12x = 3 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 7.5 + 0.12x + -0.2x = 3 + 0.2x + -0.2x Combine like terms: 0.12x + -0.2x = -0.08x 7.5 + -0.08x = 3 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 7.5 + -0.08x = 3 + 0.0 7.5 + -0.08x = 3 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.08x = 3 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.08x = 3 + -7.5 -0.08x = 3 + -7.5 Combine like terms: 3 + -7.5 = -4.5 -0.08x = -4.5 Divide each side by '-0.08'. x = 56.25 Simplifying x = 56.25
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