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Simplifying (7x + 27) + 4x = (x + 9) + (2x + 154) Reorder the terms: (27 + 7x) + 4x = (x + 9) + (2x + 154) Remove parenthesis around (27 + 7x) 27 + 7x + 4x = (x + 9) + (2x + 154) Combine like terms: 7x + 4x = 11x 27 + 11x = (x + 9) + (2x + 154) Reorder the terms: 27 + 11x = (9 + x) + (2x + 154) Remove parenthesis around (9 + x) 27 + 11x = 9 + x + (2x + 154) Reorder the terms: 27 + 11x = 9 + x + (154 + 2x) Remove parenthesis around (154 + 2x) 27 + 11x = 9 + x + 154 + 2x Reorder the terms: 27 + 11x = 9 + 154 + x + 2x Combine like terms: 9 + 154 = 163 27 + 11x = 163 + x + 2x Combine like terms: x + 2x = 3x 27 + 11x = 163 + 3x Solving 27 + 11x = 163 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 27 + 11x + -3x = 163 + 3x + -3x Combine like terms: 11x + -3x = 8x 27 + 8x = 163 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 8x = 163 + 0 27 + 8x = 163 Add '-27' to each side of the equation. 27 + -27 + 8x = 163 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 163 + -27 8x = 163 + -27 Combine like terms: 163 + -27 = 136 8x = 136 Divide each side by '8'. x = 17 Simplifying x = 17
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