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Simplifying 114 = 2(6 + 2x) + 2x 114 = (6 * 2 + 2x * 2) + 2x 114 = (12 + 4x) + 2x Combine like terms: 4x + 2x = 6x 114 = 12 + 6x Solving 114 = 12 + 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 + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 114 + -6x = 12 + 0 114 + -6x = 12 Add '-114' to each side of the equation. 114 + -114 + -6x = 12 + -114 Combine like terms: 114 + -114 = 0 0 + -6x = 12 + -114 -6x = 12 + -114 Combine like terms: 12 + -114 = -102 -6x = -102 Divide each side by '-6'. x = 17 Simplifying x = 17
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