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Simplifying 0.20(x + -1) + 0.08x = 0.18x + -0.3 Reorder the terms: 0.20(-1 + x) + 0.08x = 0.18x + -0.3 (-1 * 0.20 + x * 0.20) + 0.08x = 0.18x + -0.3 (-0.2 + 0.20x) + 0.08x = 0.18x + -0.3 Combine like terms: 0.20x + 0.08x = 0.28x -0.2 + 0.28x = 0.18x + -0.3 Reorder the terms: -0.2 + 0.28x = -0.3 + 0.18x Solving -0.2 + 0.28x = -0.3 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. -0.2 + 0.28x + -0.18x = -0.3 + 0.18x + -0.18x Combine like terms: 0.28x + -0.18x = 0.1x -0.2 + 0.1x = -0.3 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 -0.2 + 0.1x = -0.3 + 0.00 -0.2 + 0.1x = -0.3 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.1x = -0.3 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.1x = -0.3 + 0.2 0.1x = -0.3 + 0.2 Combine like terms: -0.3 + 0.2 = -0.1 0.1x = -0.1 Divide each side by '0.1'. x = -1 Simplifying x = -1
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