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Simplifying (4x + 8) = (2x + 3) + 51 Reorder the terms: (8 + 4x) = (2x + 3) + 51 Remove parenthesis around (8 + 4x) 8 + 4x = (2x + 3) + 51 Reorder the terms: 8 + 4x = (3 + 2x) + 51 Remove parenthesis around (3 + 2x) 8 + 4x = 3 + 2x + 51 Reorder the terms: 8 + 4x = 3 + 51 + 2x Combine like terms: 3 + 51 = 54 8 + 4x = 54 + 2x Solving 8 + 4x = 54 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 4x + -2x = 54 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = 54 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = 54 + 0 8 + 2x = 54 Add '-8' to each side of the equation. 8 + -8 + 2x = 54 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 54 + -8 2x = 54 + -8 Combine like terms: 54 + -8 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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