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Simplifying 114 + -6x = 12x + 22 Reorder the terms: 114 + -6x = 22 + 12x Solving 114 + -6x = 22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 114 + -6x + -12x = 22 + 12x + -12x Combine like terms: -6x + -12x = -18x 114 + -18x = 22 + 12x + -12x Combine like terms: 12x + -12x = 0 114 + -18x = 22 + 0 114 + -18x = 22 Add '-114' to each side of the equation. 114 + -114 + -18x = 22 + -114 Combine like terms: 114 + -114 = 0 0 + -18x = 22 + -114 -18x = 22 + -114 Combine like terms: 22 + -114 = -92 -18x = -92 Divide each side by '-18'. x = 5.111111111 Simplifying x = 5.111111111
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