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Simplifying -6(0.1x + 0.3) + -1.1 = -0.5 Reorder the terms: -6(0.3 + 0.1x) + -1.1 = -0.5 (0.3 * -6 + 0.1x * -6) + -1.1 = -0.5 (-1.8 + -0.6x) + -1.1 = -0.5 Reorder the terms: -1.8 + -1.1 + -0.6x = -0.5 Combine like terms: -1.8 + -1.1 = -2.9 -2.9 + -0.6x = -0.5 Solving -2.9 + -0.6x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.9' to each side of the equation. -2.9 + 2.9 + -0.6x = -0.5 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + -0.6x = -0.5 + 2.9 -0.6x = -0.5 + 2.9 Combine like terms: -0.5 + 2.9 = 2.4 -0.6x = 2.4 Divide each side by '-0.6'. x = -4 Simplifying x = -4
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