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