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Simplifying -0.10(86) + 0.75x = 0.05(x + -4) Multiply -0.10 * 86 -8.6 + 0.75x = 0.05(x + -4) Reorder the terms: -8.6 + 0.75x = 0.05(-4 + x) -8.6 + 0.75x = (-4 * 0.05 + x * 0.05) -8.6 + 0.75x = (-0.2 + 0.05x) Solving -8.6 + 0.75x = -0.2 + 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. -8.6 + 0.75x + -0.05x = -0.2 + 0.05x + -0.05x Combine like terms: 0.75x + -0.05x = 0.7x -8.6 + 0.7x = -0.2 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -8.6 + 0.7x = -0.2 + 0.00 -8.6 + 0.7x = -0.2 Add '8.6' to each side of the equation. -8.6 + 8.6 + 0.7x = -0.2 + 8.6 Combine like terms: -8.6 + 8.6 = 0.0 0.0 + 0.7x = -0.2 + 8.6 0.7x = -0.2 + 8.6 Combine like terms: -0.2 + 8.6 = 8.4 0.7x = 8.4 Divide each side by '0.7'. x = 12 Simplifying x = 12
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