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Simplifying -0.10(51) + 0.75x = 0.05(x + -18) Multiply -0.10 * 51 -5.1 + 0.75x = 0.05(x + -18) Reorder the terms: -5.1 + 0.75x = 0.05(-18 + x) -5.1 + 0.75x = (-18 * 0.05 + x * 0.05) -5.1 + 0.75x = (-0.9 + 0.05x) Solving -5.1 + 0.75x = -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. -5.1 + 0.75x + -0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.75x + -0.05x = 0.7x -5.1 + 0.7x = -0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -5.1 + 0.7x = -0.9 + 0.00 -5.1 + 0.7x = -0.9 Add '5.1' to each side of the equation. -5.1 + 5.1 + 0.7x = -0.9 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 0.7x = -0.9 + 5.1 0.7x = -0.9 + 5.1 Combine like terms: -0.9 + 5.1 = 4.2 0.7x = 4.2 Divide each side by '0.7'. x = 6 Simplifying x = 6
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