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Simplifying -8(0.2x + 0.6) + -2.1 = -0.5 Reorder the terms: -8(0.6 + 0.2x) + -2.1 = -0.5 (0.6 * -8 + 0.2x * -8) + -2.1 = -0.5 (-4.8 + -1.6x) + -2.1 = -0.5 Reorder the terms: -4.8 + -2.1 + -1.6x = -0.5 Combine like terms: -4.8 + -2.1 = -6.9 -6.9 + -1.6x = -0.5 Solving -6.9 + -1.6x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.9' to each side of the equation. -6.9 + 6.9 + -1.6x = -0.5 + 6.9 Combine like terms: -6.9 + 6.9 = 0.0 0.0 + -1.6x = -0.5 + 6.9 -1.6x = -0.5 + 6.9 Combine like terms: -0.5 + 6.9 = 6.4 -1.6x = 6.4 Divide each side by '-1.6'. x = -4 Simplifying x = -4
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