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Simplifying 10x + -7 = 5x + 33 Reorder the terms: -7 + 10x = 5x + 33 Reorder the terms: -7 + 10x = 33 + 5x Solving -7 + 10x = 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. -7 + 10x + -5x = 33 + 5x + -5x Combine like terms: 10x + -5x = 5x -7 + 5x = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 5x = 33 + 0 -7 + 5x = 33 Add '7' to each side of the equation. -7 + 7 + 5x = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 33 + 7 5x = 33 + 7 Combine like terms: 33 + 7 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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