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Simplifying 114 + -2x = 6x + 18 Reorder the terms: 114 + -2x = 18 + 6x Solving 114 + -2x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 114 + -2x + -6x = 18 + 6x + -6x Combine like terms: -2x + -6x = -8x 114 + -8x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 114 + -8x = 18 + 0 114 + -8x = 18 Add '-114' to each side of the equation. 114 + -114 + -8x = 18 + -114 Combine like terms: 114 + -114 = 0 0 + -8x = 18 + -114 -8x = 18 + -114 Combine like terms: 18 + -114 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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