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Simplifying -8(0.1x + 0.3) + -1.3 = -0.5 Reorder the terms: -8(0.3 + 0.1x) + -1.3 = -0.5 (0.3 * -8 + 0.1x * -8) + -1.3 = -0.5 (-2.4 + -0.8x) + -1.3 = -0.5 Reorder the terms: -2.4 + -1.3 + -0.8x = -0.5 Combine like terms: -2.4 + -1.3 = -3.7 -3.7 + -0.8x = -0.5 Solving -3.7 + -0.8x = -0.5 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 + -0.8x = -0.5 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + -0.8x = -0.5 + 3.7 -0.8x = -0.5 + 3.7 Combine like terms: -0.5 + 3.7 = 3.2 -0.8x = 3.2 Divide each side by '-0.8'. x = -4 Simplifying x = -4
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