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Simplifying -0.1(109) + 0.8x = 0.05(x + -8) Multiply -0.1 * 109 -10.9 + 0.8x = 0.05(x + -8) Reorder the terms: -10.9 + 0.8x = 0.05(-8 + x) -10.9 + 0.8x = (-8 * 0.05 + x * 0.05) -10.9 + 0.8x = (-0.4 + 0.05x) Solving -10.9 + 0.8x = -0.4 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -10.9 + 0.8x + -0.05x = -0.4 + 0.05x + -0.05x Combine like terms: 0.8x + -0.05x = 0.75x -10.9 + 0.75x = -0.4 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -10.9 + 0.75x = -0.4 + 0.00 -10.9 + 0.75x = -0.4 Add '10.9' to each side of the equation. -10.9 + 10.9 + 0.75x = -0.4 + 10.9 Combine like terms: -10.9 + 10.9 = 0.0 0.0 + 0.75x = -0.4 + 10.9 0.75x = -0.4 + 10.9 Combine like terms: -0.4 + 10.9 = 10.5 0.75x = 10.5 Divide each side by '0.75'. x = 14 Simplifying x = 14
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