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Simplifying -7(0.1x + 0.3) + -1.9 = -0.5 Reorder the terms: -7(0.3 + 0.1x) + -1.9 = -0.5 (0.3 * -7 + 0.1x * -7) + -1.9 = -0.5 (-2.1 + -0.7x) + -1.9 = -0.5 Reorder the terms: -2.1 + -1.9 + -0.7x = -0.5 Combine like terms: -2.1 + -1.9 = -4 -4 + -0.7x = -0.5 Solving -4 + -0.7x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -0.7x = -0.5 + 4 Combine like terms: -4 + 4 = 0 0 + -0.7x = -0.5 + 4 -0.7x = -0.5 + 4 Combine like terms: -0.5 + 4 = 3.5 -0.7x = 3.5 Divide each side by '-0.7'. x = -5 Simplifying x = -5
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