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Simplifying 0.2x + 51 + -6 = 0.12x + 20.8 Reorder the terms: 51 + -6 + 0.2x = 0.12x + 20.8 Combine like terms: 51 + -6 = 45 45 + 0.2x = 0.12x + 20.8 Reorder the terms: 45 + 0.2x = 20.8 + 0.12x Solving 45 + 0.2x = 20.8 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 45 + 0.2x + -0.12x = 20.8 + 0.12x + -0.12x Combine like terms: 0.2x + -0.12x = 0.08x 45 + 0.08x = 20.8 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 45 + 0.08x = 20.8 + 0.00 45 + 0.08x = 20.8 Add '-45' to each side of the equation. 45 + -45 + 0.08x = 20.8 + -45 Combine like terms: 45 + -45 = 0 0 + 0.08x = 20.8 + -45 0.08x = 20.8 + -45 Combine like terms: 20.8 + -45 = -24.2 0.08x = -24.2 Divide each side by '0.08'. x = -302.5 Simplifying x = -302.5
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