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Simplifying 3x + 10 + (x + 1) + (2x + 2) + 12 = 61 Reorder the terms: 3x + 10 + (1 + x) + (2x + 2) + 12 = 61 Remove parenthesis around (1 + x) 3x + 10 + 1 + x + (2x + 2) + 12 = 61 Reorder the terms: 3x + 10 + 1 + x + (2 + 2x) + 12 = 61 Remove parenthesis around (2 + 2x) 3x + 10 + 1 + x + 2 + 2x + 12 = 61 Reorder the terms: 10 + 1 + 2 + 12 + 3x + x + 2x = 61 Combine like terms: 10 + 1 = 11 11 + 2 + 12 + 3x + x + 2x = 61 Combine like terms: 11 + 2 = 13 13 + 12 + 3x + x + 2x = 61 Combine like terms: 13 + 12 = 25 25 + 3x + x + 2x = 61 Combine like terms: 3x + x = 4x 25 + 4x + 2x = 61 Combine like terms: 4x + 2x = 6x 25 + 6x = 61 Solving 25 + 6x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 6x = 61 + -25 Combine like terms: 25 + -25 = 0 0 + 6x = 61 + -25 6x = 61 + -25 Combine like terms: 61 + -25 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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