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Simplifying 0.8(x + -2) = 0.5x + -2.2 Reorder the terms: 0.8(-2 + x) = 0.5x + -2.2 (-2 * 0.8 + x * 0.8) = 0.5x + -2.2 (-1.6 + 0.8x) = 0.5x + -2.2 Reorder the terms: -1.6 + 0.8x = -2.2 + 0.5x Solving -1.6 + 0.8x = -2.2 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -1.6 + 0.8x + -0.5x = -2.2 + 0.5x + -0.5x Combine like terms: 0.8x + -0.5x = 0.3x -1.6 + 0.3x = -2.2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1.6 + 0.3x = -2.2 + 0.0 -1.6 + 0.3x = -2.2 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.3x = -2.2 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.3x = -2.2 + 1.6 0.3x = -2.2 + 1.6 Combine like terms: -2.2 + 1.6 = -0.6 0.3x = -0.6 Divide each side by '0.3'. x = -2 Simplifying x = -2
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