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Simplifying 3x + (2x + -2) + 3x + (4x + 8) = 36 Reorder the terms: 3x + (-2 + 2x) + 3x + (4x + 8) = 36 Remove parenthesis around (-2 + 2x) 3x + -2 + 2x + 3x + (4x + 8) = 36 Reorder the terms: 3x + -2 + 2x + 3x + (8 + 4x) = 36 Remove parenthesis around (8 + 4x) 3x + -2 + 2x + 3x + 8 + 4x = 36 Reorder the terms: -2 + 8 + 3x + 2x + 3x + 4x = 36 Combine like terms: -2 + 8 = 6 6 + 3x + 2x + 3x + 4x = 36 Combine like terms: 3x + 2x = 5x 6 + 5x + 3x + 4x = 36 Combine like terms: 5x + 3x = 8x 6 + 8x + 4x = 36 Combine like terms: 8x + 4x = 12x 6 + 12x = 36 Solving 6 + 12x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 36 + -6 12x = 36 + -6 Combine like terms: 36 + -6 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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