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Simplifying -6(0.1x + 0.4) + -1.3 = -0.1 Reorder the terms: -6(0.4 + 0.1x) + -1.3 = -0.1 (0.4 * -6 + 0.1x * -6) + -1.3 = -0.1 (-2.4 + -0.6x) + -1.3 = -0.1 Reorder the terms: -2.4 + -1.3 + -0.6x = -0.1 Combine like terms: -2.4 + -1.3 = -3.7 -3.7 + -0.6x = -0.1 Solving -3.7 + -0.6x = -0.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.7' to each side of the equation. -3.7 + 3.7 + -0.6x = -0.1 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + -0.6x = -0.1 + 3.7 -0.6x = -0.1 + 3.7 Combine like terms: -0.1 + 3.7 = 3.6 -0.6x = 3.6 Divide each side by '-0.6'. x = -6 Simplifying x = -6
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