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Simplifying -0.125(x + 16) + -0.2(x + -5) = x + -6 Reorder the terms: -0.125(16 + x) + -0.2(x + -5) = x + -6 (16 * -0.125 + x * -0.125) + -0.2(x + -5) = x + -6 (-2 + -0.125x) + -0.2(x + -5) = x + -6 Reorder the terms: -2 + -0.125x + -0.2(-5 + x) = x + -6 -2 + -0.125x + (-5 * -0.2 + x * -0.2) = x + -6 -2 + -0.125x + (1 + -0.2x) = x + -6 Reorder the terms: -2 + 1 + -0.125x + -0.2x = x + -6 Combine like terms: -2 + 1 = -1 -1 + -0.125x + -0.2x = x + -6 Combine like terms: -0.125x + -0.2x = -0.325x -1 + -0.325x = x + -6 Reorder the terms: -1 + -0.325x = -6 + x Solving -1 + -0.325x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -0.325x + -1x = -6 + x + -1x Combine like terms: -0.325x + -1x = -1.325x -1 + -1.325x = -6 + x + -1x Combine like terms: x + -1x = 0 -1 + -1.325x = -6 + 0 -1 + -1.325x = -6 Add '1' to each side of the equation. -1 + 1 + -1.325x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -1.325x = -6 + 1 -1.325x = -6 + 1 Combine like terms: -6 + 1 = -5 -1.325x = -5 Divide each side by '-1.325'. x = 3.773584906 Simplifying x = 3.773584906
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