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Simplifying -33x + 19(1 + -12x) = 33x + 19 -33x + (1 * 19 + -12x * 19) = 33x + 19 -33x + (19 + -228x) = 33x + 19 Reorder the terms: 19 + -33x + -228x = 33x + 19 Combine like terms: -33x + -228x = -261x 19 + -261x = 33x + 19 Reorder the terms: 19 + -261x = 19 + 33x Add '-19' to each side of the equation. 19 + -19 + -261x = 19 + -19 + 33x Combine like terms: 19 + -19 = 0 0 + -261x = 19 + -19 + 33x -261x = 19 + -19 + 33x Combine like terms: 19 + -19 = 0 -261x = 0 + 33x -261x = 33x Solving -261x = 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -261x + -33x = 33x + -33x Combine like terms: -261x + -33x = -294x -294x = 33x + -33x Combine like terms: 33x + -33x = 0 -294x = 0 Divide each side by '-294'. x = 0 Simplifying x = 0
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