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Simplifying 5x + 27 = 10x + -33 Reorder the terms: 27 + 5x = 10x + -33 Reorder the terms: 27 + 5x = -33 + 10x Solving 27 + 5x = -33 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 27 + 5x + -10x = -33 + 10x + -10x Combine like terms: 5x + -10x = -5x 27 + -5x = -33 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -5x = -33 + 0 27 + -5x = -33 Add '-27' to each side of the equation. 27 + -27 + -5x = -33 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = -33 + -27 -5x = -33 + -27 Combine like terms: -33 + -27 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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