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Simplifying -0.10(63) + 0.50x = 0.05(x + -18) Multiply -0.10 * 63 -6.3 + 0.50x = 0.05(x + -18) Reorder the terms: -6.3 + 0.50x = 0.05(-18 + x) -6.3 + 0.50x = (-18 * 0.05 + x * 0.05) -6.3 + 0.50x = (-0.9 + 0.05x) Solving -6.3 + 0.50x = -0.9 + 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. -6.3 + 0.50x + -0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.50x + -0.05x = 0.45x -6.3 + 0.45x = -0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -6.3 + 0.45x = -0.9 + 0.00 -6.3 + 0.45x = -0.9 Add '6.3' to each side of the equation. -6.3 + 6.3 + 0.45x = -0.9 + 6.3 Combine like terms: -6.3 + 6.3 = 0.0 0.0 + 0.45x = -0.9 + 6.3 0.45x = -0.9 + 6.3 Combine like terms: -0.9 + 6.3 = 5.4 0.45x = 5.4 Divide each side by '0.45'. x = 12 Simplifying x = 12
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