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Simplifying 114 = 6 + 2(6 + 8x) 114 = 6 + (6 * 2 + 8x * 2) 114 = 6 + (12 + 16x) Combine like terms: 6 + 12 = 18 114 = 18 + 16x Solving 114 = 18 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 114 + -16x = 18 + 16x + -16x Combine like terms: 16x + -16x = 0 114 + -16x = 18 + 0 114 + -16x = 18 Add '-114' to each side of the equation. 114 + -114 + -16x = 18 + -114 Combine like terms: 114 + -114 = 0 0 + -16x = 18 + -114 -16x = 18 + -114 Combine like terms: 18 + -114 = -96 -16x = -96 Divide each side by '-16'. x = 6 Simplifying x = 6
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