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Simplifying -114 = 6x + 2(4x + 6) Reorder the terms: -114 = 6x + 2(6 + 4x) -114 = 6x + (6 * 2 + 4x * 2) -114 = 6x + (12 + 8x) Reorder the terms: -114 = 12 + 6x + 8x Combine like terms: 6x + 8x = 14x -114 = 12 + 14x Solving -114 = 12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -114 + -14x = 12 + 14x + -14x Combine like terms: 14x + -14x = 0 -114 + -14x = 12 + 0 -114 + -14x = 12 Add '114' to each side of the equation. -114 + 114 + -14x = 12 + 114 Combine like terms: -114 + 114 = 0 0 + -14x = 12 + 114 -14x = 12 + 114 Combine like terms: 12 + 114 = 126 -14x = 126 Divide each side by '-14'. x = -9 Simplifying x = -9
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