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Simplifying (21x + 3) + (2x + 4) = 18x + 32 Reorder the terms: (3 + 21x) + (2x + 4) = 18x + 32 Remove parenthesis around (3 + 21x) 3 + 21x + (2x + 4) = 18x + 32 Reorder the terms: 3 + 21x + (4 + 2x) = 18x + 32 Remove parenthesis around (4 + 2x) 3 + 21x + 4 + 2x = 18x + 32 Reorder the terms: 3 + 4 + 21x + 2x = 18x + 32 Combine like terms: 3 + 4 = 7 7 + 21x + 2x = 18x + 32 Combine like terms: 21x + 2x = 23x 7 + 23x = 18x + 32 Reorder the terms: 7 + 23x = 32 + 18x Solving 7 + 23x = 32 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 7 + 23x + -18x = 32 + 18x + -18x Combine like terms: 23x + -18x = 5x 7 + 5x = 32 + 18x + -18x Combine like terms: 18x + -18x = 0 7 + 5x = 32 + 0 7 + 5x = 32 Add '-7' to each side of the equation. 7 + -7 + 5x = 32 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 32 + -7 5x = 32 + -7 Combine like terms: 32 + -7 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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