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Simplifying 6x + -6 = 114 + -9x Reorder the terms: -6 + 6x = 114 + -9x Solving -6 + 6x = 114 + -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. -6 + 6x + 9x = 114 + -9x + 9x Combine like terms: 6x + 9x = 15x -6 + 15x = 114 + -9x + 9x Combine like terms: -9x + 9x = 0 -6 + 15x = 114 + 0 -6 + 15x = 114 Add '6' to each side of the equation. -6 + 6 + 15x = 114 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 114 + 6 15x = 114 + 6 Combine like terms: 114 + 6 = 120 15x = 120 Divide each side by '15'. x = 8 Simplifying x = 8
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