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Simplifying 2(x + 21) + (2x + 9) = 90 Reorder the terms: 2(21 + x) + (2x + 9) = 90 (21 * 2 + x * 2) + (2x + 9) = 90 (42 + 2x) + (2x + 9) = 90 Reorder the terms: 42 + 2x + (9 + 2x) = 90 Remove parenthesis around (9 + 2x) 42 + 2x + 9 + 2x = 90 Reorder the terms: 42 + 9 + 2x + 2x = 90 Combine like terms: 42 + 9 = 51 51 + 2x + 2x = 90 Combine like terms: 2x + 2x = 4x 51 + 4x = 90 Solving 51 + 4x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 4x = 90 + -51 Combine like terms: 51 + -51 = 0 0 + 4x = 90 + -51 4x = 90 + -51 Combine like terms: 90 + -51 = 39 4x = 39 Divide each side by '4'. x = 9.75 Simplifying x = 9.75
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