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Simplifying -6(0.1x + 0.4) + -1.7 = -0.5 Reorder the terms: -6(0.4 + 0.1x) + -1.7 = -0.5 (0.4 * -6 + 0.1x * -6) + -1.7 = -0.5 (-2.4 + -0.6x) + -1.7 = -0.5 Reorder the terms: -2.4 + -1.7 + -0.6x = -0.5 Combine like terms: -2.4 + -1.7 = -4.1 -4.1 + -0.6x = -0.5 Solving -4.1 + -0.6x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.1' to each side of the equation. -4.1 + 4.1 + -0.6x = -0.5 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -0.6x = -0.5 + 4.1 -0.6x = -0.5 + 4.1 Combine like terms: -0.5 + 4.1 = 3.6 -0.6x = 3.6 Divide each side by '-0.6'. x = -6 Simplifying x = -6
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