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Simplifying 52 + 3x = 100 + -5x Solving 52 + 3x = 100 + -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. 52 + 3x + 5x = 100 + -5x + 5x Combine like terms: 3x + 5x = 8x 52 + 8x = 100 + -5x + 5x Combine like terms: -5x + 5x = 0 52 + 8x = 100 + 0 52 + 8x = 100 Add '-52' to each side of the equation. 52 + -52 + 8x = 100 + -52 Combine like terms: 52 + -52 = 0 0 + 8x = 100 + -52 8x = 100 + -52 Combine like terms: 100 + -52 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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