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Simplifying 1097 = x + (x + 11) + (4x + -36) Reorder the terms: 1097 = x + (11 + x) + (4x + -36) Remove parenthesis around (11 + x) 1097 = x + 11 + x + (4x + -36) Reorder the terms: 1097 = x + 11 + x + (-36 + 4x) Remove parenthesis around (-36 + 4x) 1097 = x + 11 + x + -36 + 4x Reorder the terms: 1097 = 11 + -36 + x + x + 4x Combine like terms: 11 + -36 = -25 1097 = -25 + x + x + 4x Combine like terms: x + x = 2x 1097 = -25 + 2x + 4x Combine like terms: 2x + 4x = 6x 1097 = -25 + 6x Solving 1097 = -25 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1097 + -6x = -25 + 6x + -6x Combine like terms: 6x + -6x = 0 1097 + -6x = -25 + 0 1097 + -6x = -25 Add '-1097' to each side of the equation. 1097 + -1097 + -6x = -25 + -1097 Combine like terms: 1097 + -1097 = 0 0 + -6x = -25 + -1097 -6x = -25 + -1097 Combine like terms: -25 + -1097 = -1122 -6x = -1122 Divide each side by '-6'. x = 187 Simplifying x = 187
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