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Simplifying -4(0.1x + 0.2) + -1.7 = 0.5 Reorder the terms: -4(0.2 + 0.1x) + -1.7 = 0.5 (0.2 * -4 + 0.1x * -4) + -1.7 = 0.5 (-0.8 + -0.4x) + -1.7 = 0.5 Reorder the terms: -0.8 + -1.7 + -0.4x = 0.5 Combine like terms: -0.8 + -1.7 = -2.5 -2.5 + -0.4x = 0.5 Solving -2.5 + -0.4x = 0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + -0.4x = 0.5 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.4x = 0.5 + 2.5 -0.4x = 0.5 + 2.5 Combine like terms: 0.5 + 2.5 = 3 -0.4x = 3 Divide each side by '-0.4'. x = -7.5 Simplifying x = -7.5
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