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Simplifying -0.10(64) + 0.65x = 0.05(x + -8) Multiply -0.10 * 64 -6.4 + 0.65x = 0.05(x + -8) Reorder the terms: -6.4 + 0.65x = 0.05(-8 + x) -6.4 + 0.65x = (-8 * 0.05 + x * 0.05) -6.4 + 0.65x = (-0.4 + 0.05x) Solving -6.4 + 0.65x = -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. -6.4 + 0.65x + -0.05x = -0.4 + 0.05x + -0.05x Combine like terms: 0.65x + -0.05x = 0.6x -6.4 + 0.6x = -0.4 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -6.4 + 0.6x = -0.4 + 0.00 -6.4 + 0.6x = -0.4 Add '6.4' to each side of the equation. -6.4 + 6.4 + 0.6x = -0.4 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 0.6x = -0.4 + 6.4 0.6x = -0.4 + 6.4 Combine like terms: -0.4 + 6.4 = 6 0.6x = 6 Divide each side by '0.6'. x = 10 Simplifying x = 10
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