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Simplifying (3x + 9) + (3x + 8) + (3x) = (3x) + (3x) + (4x + 4) Reorder the terms: (9 + 3x) + (3x + 8) + (3x) = (3x) + (3x) + (4x + 4) Remove parenthesis around (9 + 3x) 9 + 3x + (3x + 8) + (3x) = (3x) + (3x) + (4x + 4) Reorder the terms: 9 + 3x + (8 + 3x) + (3x) = (3x) + (3x) + (4x + 4) Remove parenthesis around (8 + 3x) 9 + 3x + 8 + 3x + (3x) = (3x) + (3x) + (4x + 4) Reorder the terms: 9 + 8 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 4) Combine like terms: 9 + 8 = 17 17 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 4) Combine like terms: 3x + 3x = 6x 17 + 6x + (3x) = (3x) + (3x) + (4x + 4) Combine like terms: 6x + (3x) = 9x 17 + 9x = (3x) + (3x) + (4x + 4) Reorder the terms: 17 + 9x = (3x) + (3x) + (4 + 4x) Remove parenthesis around (4 + 4x) 17 + 9x = (3x) + (3x) + 4 + 4x Reorder the terms: 17 + 9x = 4 + (3x) + (3x) + 4x Combine like terms: (3x) + (3x) = 6x 17 + 9x = 4 + 6x + 4x Combine like terms: 6x + 4x = 10x 17 + 9x = 4 + 10x Solving 17 + 9x = 4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 17 + 9x + -10x = 4 + 10x + -10x Combine like terms: 9x + -10x = -1x 17 + -1x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + -1x = 4 + 0 17 + -1x = 4 Add '-17' to each side of the equation. 17 + -17 + -1x = 4 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 4 + -17 -1x = 4 + -17 Combine like terms: 4 + -17 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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