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Simplifying -14 = 2(6 + -1x) + 6(7 + 6x) -14 = (6 * 2 + -1x * 2) + 6(7 + 6x) -14 = (12 + -2x) + 6(7 + 6x) -14 = 12 + -2x + (7 * 6 + 6x * 6) -14 = 12 + -2x + (42 + 36x) Reorder the terms: -14 = 12 + 42 + -2x + 36x Combine like terms: 12 + 42 = 54 -14 = 54 + -2x + 36x Combine like terms: -2x + 36x = 34x -14 = 54 + 34x Solving -14 = 54 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -14 + -34x = 54 + 34x + -34x Combine like terms: 34x + -34x = 0 -14 + -34x = 54 + 0 -14 + -34x = 54 Add '14' to each side of the equation. -14 + 14 + -34x = 54 + 14 Combine like terms: -14 + 14 = 0 0 + -34x = 54 + 14 -34x = 54 + 14 Combine like terms: 54 + 14 = 68 -34x = 68 Divide each side by '-34'. x = -2 Simplifying x = -2
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