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Simplifying x + -117 = -4x + 2 + -12x Reorder the terms: -117 + x = -4x + 2 + -12x Reorder the terms: -117 + x = 2 + -4x + -12x Combine like terms: -4x + -12x = -16x -117 + x = 2 + -16x Solving -117 + x = 2 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -117 + x + 16x = 2 + -16x + 16x Combine like terms: x + 16x = 17x -117 + 17x = 2 + -16x + 16x Combine like terms: -16x + 16x = 0 -117 + 17x = 2 + 0 -117 + 17x = 2 Add '117' to each side of the equation. -117 + 117 + 17x = 2 + 117 Combine like terms: -117 + 117 = 0 0 + 17x = 2 + 117 17x = 2 + 117 Combine like terms: 2 + 117 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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