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Simplifying 0.22x + -0.8 = 0.12x + 1 + -0.8x Reorder the terms: -0.8 + 0.22x = 0.12x + 1 + -0.8x Reorder the terms: -0.8 + 0.22x = 1 + 0.12x + -0.8x Combine like terms: 0.12x + -0.8x = -0.68x -0.8 + 0.22x = 1 + -0.68x Solving -0.8 + 0.22x = 1 + -0.68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.68x' to each side of the equation. -0.8 + 0.22x + 0.68x = 1 + -0.68x + 0.68x Combine like terms: 0.22x + 0.68x = 0.9x -0.8 + 0.9x = 1 + -0.68x + 0.68x Combine like terms: -0.68x + 0.68x = 0.00 -0.8 + 0.9x = 1 + 0.00 -0.8 + 0.9x = 1 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.9x = 1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.9x = 1 + 0.8 0.9x = 1 + 0.8 Combine like terms: 1 + 0.8 = 1.8 0.9x = 1.8 Divide each side by '0.9'. x = 2 Simplifying x = 2
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