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Simplifying 6x + 14 = -8(1 + 2x) Reorder the terms: 14 + 6x = -8(1 + 2x) 14 + 6x = (1 * -8 + 2x * -8) 14 + 6x = (-8 + -16x) Solving 14 + 6x = -8 + -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. 14 + 6x + 16x = -8 + -16x + 16x Combine like terms: 6x + 16x = 22x 14 + 22x = -8 + -16x + 16x Combine like terms: -16x + 16x = 0 14 + 22x = -8 + 0 14 + 22x = -8 Add '-14' to each side of the equation. 14 + -14 + 22x = -8 + -14 Combine like terms: 14 + -14 = 0 0 + 22x = -8 + -14 22x = -8 + -14 Combine like terms: -8 + -14 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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