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Simplifying 7x + 11 = 3x + 8 + 3x + 24 Reorder the terms: 11 + 7x = 3x + 8 + 3x + 24 Reorder the terms: 11 + 7x = 8 + 24 + 3x + 3x Combine like terms: 8 + 24 = 32 11 + 7x = 32 + 3x + 3x Combine like terms: 3x + 3x = 6x 11 + 7x = 32 + 6x Solving 11 + 7x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + 7x + -6x = 32 + 6x + -6x Combine like terms: 7x + -6x = 1x 11 + 1x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + 1x = 32 + 0 11 + 1x = 32 Add '-11' to each side of the equation. 11 + -11 + 1x = 32 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 32 + -11 1x = 32 + -11 Combine like terms: 32 + -11 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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