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Simplifying -0.10(48) + 0.70x = 0.05(x + -18) Multiply -0.10 * 48 -4.8 + 0.70x = 0.05(x + -18) Reorder the terms: -4.8 + 0.70x = 0.05(-18 + x) -4.8 + 0.70x = (-18 * 0.05 + x * 0.05) -4.8 + 0.70x = (-0.9 + 0.05x) Solving -4.8 + 0.70x = -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. -4.8 + 0.70x + -0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.70x + -0.05x = 0.65x -4.8 + 0.65x = -0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -4.8 + 0.65x = -0.9 + 0.00 -4.8 + 0.65x = -0.9 Add '4.8' to each side of the equation. -4.8 + 4.8 + 0.65x = -0.9 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 0.65x = -0.9 + 4.8 0.65x = -0.9 + 4.8 Combine like terms: -0.9 + 4.8 = 3.9 0.65x = 3.9 Divide each side by '0.65'. x = 6 Simplifying x = 6
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