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Simplifying (-0.10)(11) + (0.45x) = 0.05(x + -6) Multiply -0.10 * 11 -1.1 + (0.45x) = 0.05(x + -6) Reorder the terms: -1.1 + (0.45x) = 0.05(-6 + x) -1.1 + (0.45x) = (-6 * 0.05 + x * 0.05) -1.1 + (0.45x) = (-0.3 + 0.05x) Solving -1.1 + (0.45x) = -0.3 + 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. -1.1 + (0.45x) + -0.05x = -0.3 + 0.05x + -0.05x Combine like terms: (0.45x) + -0.05x = 0.4x -1.1 + 0.4x = -0.3 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.1 + 0.4x = -0.3 + 0.00 -1.1 + 0.4x = -0.3 Add '1.1' to each side of the equation. -1.1 + 1.1 + 0.4x = -0.3 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 0.4x = -0.3 + 1.1 0.4x = -0.3 + 1.1 Combine like terms: -0.3 + 1.1 = 0.8 0.4x = 0.8 Divide each side by '0.4'. x = 2 Simplifying x = 2
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