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Simplifying 8x + -14 = 3(2x + 2) + 2 Reorder the terms: -14 + 8x = 3(2x + 2) + 2 Reorder the terms: -14 + 8x = 3(2 + 2x) + 2 -14 + 8x = (2 * 3 + 2x * 3) + 2 -14 + 8x = (6 + 6x) + 2 Reorder the terms: -14 + 8x = 6 + 2 + 6x Combine like terms: 6 + 2 = 8 -14 + 8x = 8 + 6x Solving -14 + 8x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 8x + -6x = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x -14 + 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 2x = 8 + 0 -14 + 2x = 8 Add '14' to each side of the equation. -14 + 14 + 2x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 8 + 14 2x = 8 + 14 Combine like terms: 8 + 14 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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