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Simplifying 18 + -5x + -7 = 12x + 11 + 17 Reorder the terms: 18 + -7 + -5x = 12x + 11 + 17 Combine like terms: 18 + -7 = 11 11 + -5x = 12x + 11 + 17 Reorder the terms: 11 + -5x = 11 + 17 + 12x Combine like terms: 11 + 17 = 28 11 + -5x = 28 + 12x Solving 11 + -5x = 28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 11 + -5x + -12x = 28 + 12x + -12x Combine like terms: -5x + -12x = -17x 11 + -17x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -17x = 28 + 0 11 + -17x = 28 Add '-11' to each side of the equation. 11 + -11 + -17x = 28 + -11 Combine like terms: 11 + -11 = 0 0 + -17x = 28 + -11 -17x = 28 + -11 Combine like terms: 28 + -11 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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