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Simplifying 12x + -33 + 20x + -78x + 36 + -48 + 30x + 45x + 558 + -14x + -605 + -58 = 0 Reorder the terms: -33 + 36 + -48 + 558 + -605 + -58 + 12x + 20x + -78x + 30x + 45x + -14x = 0 Combine like terms: -33 + 36 = 3 3 + -48 + 558 + -605 + -58 + 12x + 20x + -78x + 30x + 45x + -14x = 0 Combine like terms: 3 + -48 = -45 -45 + 558 + -605 + -58 + 12x + 20x + -78x + 30x + 45x + -14x = 0 Combine like terms: -45 + 558 = 513 513 + -605 + -58 + 12x + 20x + -78x + 30x + 45x + -14x = 0 Combine like terms: 513 + -605 = -92 -92 + -58 + 12x + 20x + -78x + 30x + 45x + -14x = 0 Combine like terms: -92 + -58 = -150 -150 + 12x + 20x + -78x + 30x + 45x + -14x = 0 Combine like terms: 12x + 20x = 32x -150 + 32x + -78x + 30x + 45x + -14x = 0 Combine like terms: 32x + -78x = -46x -150 + -46x + 30x + 45x + -14x = 0 Combine like terms: -46x + 30x = -16x -150 + -16x + 45x + -14x = 0 Combine like terms: -16x + 45x = 29x -150 + 29x + -14x = 0 Combine like terms: 29x + -14x = 15x -150 + 15x = 0 Solving -150 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150' to each side of the equation. -150 + 150 + 15x = 0 + 150 Combine like terms: -150 + 150 = 0 0 + 15x = 0 + 150 15x = 0 + 150 Combine like terms: 0 + 150 = 150 15x = 150 Divide each side by '15'. x = 10 Simplifying x = 10
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