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Simplifying -7(0.1x + 0.2) + -0.9 = -0.2 Reorder the terms: -7(0.2 + 0.1x) + -0.9 = -0.2 (0.2 * -7 + 0.1x * -7) + -0.9 = -0.2 (-1.4 + -0.7x) + -0.9 = -0.2 Reorder the terms: -1.4 + -0.9 + -0.7x = -0.2 Combine like terms: -1.4 + -0.9 = -2.3 -2.3 + -0.7x = -0.2 Solving -2.3 + -0.7x = -0.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.3' to each side of the equation. -2.3 + 2.3 + -0.7x = -0.2 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + -0.7x = -0.2 + 2.3 -0.7x = -0.2 + 2.3 Combine like terms: -0.2 + 2.3 = 2.1 -0.7x = 2.1 Divide each side by '-0.7'. x = -3 Simplifying x = -3
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