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Simplifying 10x + 14 = 8(x + 12) Reorder the terms: 14 + 10x = 8(x + 12) Reorder the terms: 14 + 10x = 8(12 + x) 14 + 10x = (12 * 8 + x * 8) 14 + 10x = (96 + 8x) Solving 14 + 10x = 96 + 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. 14 + 10x + -8x = 96 + 8x + -8x Combine like terms: 10x + -8x = 2x 14 + 2x = 96 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 2x = 96 + 0 14 + 2x = 96 Add '-14' to each side of the equation. 14 + -14 + 2x = 96 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 96 + -14 2x = 96 + -14 Combine like terms: 96 + -14 = 82 2x = 82 Divide each side by '2'. x = 41 Simplifying x = 41
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