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Simplifying 6x + 10 = 5x + 33 Reorder the terms: 10 + 6x = 5x + 33 Reorder the terms: 10 + 6x = 33 + 5x Solving 10 + 6x = 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. 10 + 6x + -5x = 33 + 5x + -5x Combine like terms: 6x + -5x = 1x 10 + 1x = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 1x = 33 + 0 10 + 1x = 33 Add '-10' to each side of the equation. 10 + -10 + 1x = 33 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 33 + -10 1x = 33 + -10 Combine like terms: 33 + -10 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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