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Simplifying 0.27x + -1.6 = 0.32x + -2 Reorder the terms: -1.6 + 0.27x = 0.32x + -2 Reorder the terms: -1.6 + 0.27x = -2 + 0.32x Solving -1.6 + 0.27x = -2 + 0.32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.32x' to each side of the equation. -1.6 + 0.27x + -0.32x = -2 + 0.32x + -0.32x Combine like terms: 0.27x + -0.32x = -0.05x -1.6 + -0.05x = -2 + 0.32x + -0.32x Combine like terms: 0.32x + -0.32x = 0.00 -1.6 + -0.05x = -2 + 0.00 -1.6 + -0.05x = -2 Add '1.6' to each side of the equation. -1.6 + 1.6 + -0.05x = -2 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -0.05x = -2 + 1.6 -0.05x = -2 + 1.6 Combine like terms: -2 + 1.6 = -0.4 -0.05x = -0.4 Divide each side by '-0.05'. x = 8 Simplifying x = 8
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