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Simplifying 2x + 14 = 6 + 2(1 + -1x) Reorder the terms: 14 + 2x = 6 + 2(1 + -1x) 14 + 2x = 6 + (1 * 2 + -1x * 2) 14 + 2x = 6 + (2 + -2x) Combine like terms: 6 + 2 = 8 14 + 2x = 8 + -2x Solving 14 + 2x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + 2x + 2x = 8 + -2x + 2x Combine like terms: 2x + 2x = 4x 14 + 4x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 4x = 8 + 0 14 + 4x = 8 Add '-14' to each side of the equation. 14 + -14 + 4x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 8 + -14 4x = 8 + -14 Combine like terms: 8 + -14 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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