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Simplifying 3x + 114 = 11x + -6 Reorder the terms: 114 + 3x = 11x + -6 Reorder the terms: 114 + 3x = -6 + 11x Solving 114 + 3x = -6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 114 + 3x + -11x = -6 + 11x + -11x Combine like terms: 3x + -11x = -8x 114 + -8x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 114 + -8x = -6 + 0 114 + -8x = -6 Add '-114' to each side of the equation. 114 + -114 + -8x = -6 + -114 Combine like terms: 114 + -114 = 0 0 + -8x = -6 + -114 -8x = -6 + -114 Combine like terms: -6 + -114 = -120 -8x = -120 Divide each side by '-8'. x = 15 Simplifying x = 15
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