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Simplifying 8x + -14 = (3x + 5) * 2 Reorder the terms: -14 + 8x = (3x + 5) * 2 Reorder the terms: -14 + 8x = (5 + 3x) * 2 Reorder the terms for easier multiplication: -14 + 8x = 2(5 + 3x) -14 + 8x = (5 * 2 + 3x * 2) -14 + 8x = (10 + 6x) Solving -14 + 8x = 10 + 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 = 10 + 6x + -6x Combine like terms: 8x + -6x = 2x -14 + 2x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 2x = 10 + 0 -14 + 2x = 10 Add '14' to each side of the equation. -14 + 14 + 2x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 10 + 14 2x = 10 + 14 Combine like terms: 10 + 14 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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