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Simplifying -7(0.1x + 0.2) + -1.2 = -0.5 Reorder the terms: -7(0.2 + 0.1x) + -1.2 = -0.5 (0.2 * -7 + 0.1x * -7) + -1.2 = -0.5 (-1.4 + -0.7x) + -1.2 = -0.5 Reorder the terms: -1.4 + -1.2 + -0.7x = -0.5 Combine like terms: -1.4 + -1.2 = -2.6 -2.6 + -0.7x = -0.5 Solving -2.6 + -0.7x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.6' to each side of the equation. -2.6 + 2.6 + -0.7x = -0.5 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + -0.7x = -0.5 + 2.6 -0.7x = -0.5 + 2.6 Combine like terms: -0.5 + 2.6 = 2.1 -0.7x = 2.1 Divide each side by '-0.7'. x = -3 Simplifying x = -3
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