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Simplifying 8 + 3x + 24 + 7 = 45 + (x + 10) Reorder the terms: 8 + 24 + 7 + 3x = 45 + (x + 10) Combine like terms: 8 + 24 = 32 32 + 7 + 3x = 45 + (x + 10) Combine like terms: 32 + 7 = 39 39 + 3x = 45 + (x + 10) Reorder the terms: 39 + 3x = 45 + (10 + x) Remove parenthesis around (10 + x) 39 + 3x = 45 + 10 + x Combine like terms: 45 + 10 = 55 39 + 3x = 55 + x Solving 39 + 3x = 55 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 39 + 3x + -1x = 55 + x + -1x Combine like terms: 3x + -1x = 2x 39 + 2x = 55 + x + -1x Combine like terms: x + -1x = 0 39 + 2x = 55 + 0 39 + 2x = 55 Add '-39' to each side of the equation. 39 + -39 + 2x = 55 + -39 Combine like terms: 39 + -39 = 0 0 + 2x = 55 + -39 2x = 55 + -39 Combine like terms: 55 + -39 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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