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Simplifying -0.10(75) + 0.75x = 0.05(x + -10) Multiply -0.10 * 75 -7.5 + 0.75x = 0.05(x + -10) Reorder the terms: -7.5 + 0.75x = 0.05(-10 + x) -7.5 + 0.75x = (-10 * 0.05 + x * 0.05) -7.5 + 0.75x = (-0.5 + 0.05x) Solving -7.5 + 0.75x = -0.5 + 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. -7.5 + 0.75x + -0.05x = -0.5 + 0.05x + -0.05x Combine like terms: 0.75x + -0.05x = 0.7x -7.5 + 0.7x = -0.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -7.5 + 0.7x = -0.5 + 0.00 -7.5 + 0.7x = -0.5 Add '7.5' to each side of the equation. -7.5 + 7.5 + 0.7x = -0.5 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 0.7x = -0.5 + 7.5 0.7x = -0.5 + 7.5 Combine like terms: -0.5 + 7.5 = 7 0.7x = 7 Divide each side by '0.7'. x = 10 Simplifying x = 10
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