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Simplifying 0.5(2x + -1) + -0.2(x + -2) = 4 Reorder the terms: 0.5(-1 + 2x) + -0.2(x + -2) = 4 (-1 * 0.5 + 2x * 0.5) + -0.2(x + -2) = 4 (-0.5 + 1x) + -0.2(x + -2) = 4 Reorder the terms: -0.5 + 1x + -0.2(-2 + x) = 4 -0.5 + 1x + (-2 * -0.2 + x * -0.2) = 4 -0.5 + 1x + (0.4 + -0.2x) = 4 Reorder the terms: -0.5 + 0.4 + 1x + -0.2x = 4 Combine like terms: -0.5 + 0.4 = -0.1 -0.1 + 1x + -0.2x = 4 Combine like terms: 1x + -0.2x = 0.8x -0.1 + 0.8x = 4 Solving -0.1 + 0.8x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.8x = 4 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.8x = 4 + 0.1 0.8x = 4 + 0.1 Combine like terms: 4 + 0.1 = 4.1 0.8x = 4.1 Divide each side by '0.8'. x = 5.125 Simplifying x = 5.125
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