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Simplifying -4(0.1x + 0.2) + -0.5 = -0.1 Reorder the terms: -4(0.2 + 0.1x) + -0.5 = -0.1 (0.2 * -4 + 0.1x * -4) + -0.5 = -0.1 (-0.8 + -0.4x) + -0.5 = -0.1 Reorder the terms: -0.8 + -0.5 + -0.4x = -0.1 Combine like terms: -0.8 + -0.5 = -1.3 -1.3 + -0.4x = -0.1 Solving -1.3 + -0.4x = -0.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3' to each side of the equation. -1.3 + 1.3 + -0.4x = -0.1 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + -0.4x = -0.1 + 1.3 -0.4x = -0.1 + 1.3 Combine like terms: -0.1 + 1.3 = 1.2 -0.4x = 1.2 Divide each side by '-0.4'. x = -3 Simplifying x = -3
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