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Simplifying 0.33(4x + -42) = 3x Reorder the terms: 0.33(-42 + 4x) = 3x (-42 * 0.33 + 4x * 0.33) = 3x (-13.86 + 1.32x) = 3x Solving -13.86 + 1.32x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13.86 + 1.32x + -3x = 3x + -3x Combine like terms: 1.32x + -3x = -1.68x -13.86 + -1.68x = 3x + -3x Combine like terms: 3x + -3x = 0 -13.86 + -1.68x = 0 Add '13.86' to each side of the equation. -13.86 + 13.86 + -1.68x = 0 + 13.86 Combine like terms: -13.86 + 13.86 = 0.00 0.00 + -1.68x = 0 + 13.86 -1.68x = 0 + 13.86 Combine like terms: 0 + 13.86 = 13.86 -1.68x = 13.86 Divide each side by '-1.68'. x = -8.25 Simplifying x = -8.25
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