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Simplifying -100 = 5x + 2(6x + 18) Reorder the terms: -100 = 5x + 2(18 + 6x) -100 = 5x + (18 * 2 + 6x * 2) -100 = 5x + (36 + 12x) Reorder the terms: -100 = 36 + 5x + 12x Combine like terms: 5x + 12x = 17x -100 = 36 + 17x Solving -100 = 36 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -100 + -17x = 36 + 17x + -17x Combine like terms: 17x + -17x = 0 -100 + -17x = 36 + 0 -100 + -17x = 36 Add '100' to each side of the equation. -100 + 100 + -17x = 36 + 100 Combine like terms: -100 + 100 = 0 0 + -17x = 36 + 100 -17x = 36 + 100 Combine like terms: 36 + 100 = 136 -17x = 136 Divide each side by '-17'. x = -8 Simplifying x = -8
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