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Simplifying -0.10(35) + 0.70x = 0.05(x + -18) Multiply -0.10 * 35 -3.5 + 0.70x = 0.05(x + -18) Reorder the terms: -3.5 + 0.70x = 0.05(-18 + x) -3.5 + 0.70x = (-18 * 0.05 + x * 0.05) -3.5 + 0.70x = (-0.9 + 0.05x) Solving -3.5 + 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. -3.5 + 0.70x + -0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.70x + -0.05x = 0.65x -3.5 + 0.65x = -0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -3.5 + 0.65x = -0.9 + 0.00 -3.5 + 0.65x = -0.9 Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.65x = -0.9 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.65x = -0.9 + 3.5 0.65x = -0.9 + 3.5 Combine like terms: -0.9 + 3.5 = 2.6 0.65x = 2.6 Divide each side by '0.65'. x = 4 Simplifying x = 4
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