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Simplifying 2x + 78 = 5x + 33 Reorder the terms: 78 + 2x = 5x + 33 Reorder the terms: 78 + 2x = 33 + 5x Solving 78 + 2x = 33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 78 + 2x + -5x = 33 + 5x + -5x Combine like terms: 2x + -5x = -3x 78 + -3x = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 78 + -3x = 33 + 0 78 + -3x = 33 Add '-78' to each side of the equation. 78 + -78 + -3x = 33 + -78 Combine like terms: 78 + -78 = 0 0 + -3x = 33 + -78 -3x = 33 + -78 Combine like terms: 33 + -78 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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