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Simplifying -117 + 6x = -9x + 18 Reorder the terms: -117 + 6x = 18 + -9x Solving -117 + 6x = 18 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -117 + 6x + 9x = 18 + -9x + 9x Combine like terms: 6x + 9x = 15x -117 + 15x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 -117 + 15x = 18 + 0 -117 + 15x = 18 Add '117' to each side of the equation. -117 + 117 + 15x = 18 + 117 Combine like terms: -117 + 117 = 0 0 + 15x = 18 + 117 15x = 18 + 117 Combine like terms: 18 + 117 = 135 15x = 135 Divide each side by '15'. x = 9 Simplifying x = 9
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