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Simplifying 6(x + 2) = 8x + 14 Reorder the terms: 6(2 + x) = 8x + 14 (2 * 6 + x * 6) = 8x + 14 (12 + 6x) = 8x + 14 Reorder the terms: 12 + 6x = 14 + 8x Solving 12 + 6x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 6x + -8x = 14 + 8x + -8x Combine like terms: 6x + -8x = -2x 12 + -2x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -2x = 14 + 0 12 + -2x = 14 Add '-12' to each side of the equation. 12 + -12 + -2x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 14 + -12 -2x = 14 + -12 Combine like terms: 14 + -12 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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