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Simplifying -0.10(33) + 0.30x = 0.05(x + -6) Multiply -0.10 * 33 -3.3 + 0.30x = 0.05(x + -6) Reorder the terms: -3.3 + 0.30x = 0.05(-6 + x) -3.3 + 0.30x = (-6 * 0.05 + x * 0.05) -3.3 + 0.30x = (-0.3 + 0.05x) Solving -3.3 + 0.30x = -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. -3.3 + 0.30x + -0.05x = -0.3 + 0.05x + -0.05x Combine like terms: 0.30x + -0.05x = 0.25x -3.3 + 0.25x = -0.3 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -3.3 + 0.25x = -0.3 + 0.00 -3.3 + 0.25x = -0.3 Add '3.3' to each side of the equation. -3.3 + 3.3 + 0.25x = -0.3 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + 0.25x = -0.3 + 3.3 0.25x = -0.3 + 3.3 Combine like terms: -0.3 + 3.3 = 3 0.25x = 3 Divide each side by '0.25'. x = 12 Simplifying x = 12
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