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Simplifying 6x + 114 = 9x + 120 Reorder the terms: 114 + 6x = 9x + 120 Reorder the terms: 114 + 6x = 120 + 9x Solving 114 + 6x = 120 + 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. 114 + 6x + -9x = 120 + 9x + -9x Combine like terms: 6x + -9x = -3x 114 + -3x = 120 + 9x + -9x Combine like terms: 9x + -9x = 0 114 + -3x = 120 + 0 114 + -3x = 120 Add '-114' to each side of the equation. 114 + -114 + -3x = 120 + -114 Combine like terms: 114 + -114 = 0 0 + -3x = 120 + -114 -3x = 120 + -114 Combine like terms: 120 + -114 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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