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Simplifying -7(0.1x + 0.4) + -0.9 = 0.2 Reorder the terms: -7(0.4 + 0.1x) + -0.9 = 0.2 (0.4 * -7 + 0.1x * -7) + -0.9 = 0.2 (-2.8 + -0.7x) + -0.9 = 0.2 Reorder the terms: -2.8 + -0.9 + -0.7x = 0.2 Combine like terms: -2.8 + -0.9 = -3.7 -3.7 + -0.7x = 0.2 Solving -3.7 + -0.7x = 0.2 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 + -0.7x = 0.2 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + -0.7x = 0.2 + 3.7 -0.7x = 0.2 + 3.7 Combine like terms: 0.2 + 3.7 = 3.9 -0.7x = 3.9 Divide each side by '-0.7'. x = -5.571428571 Simplifying x = -5.571428571
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