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Simplifying 5x + 14 = 3(x + 7) + -5 Reorder the terms: 14 + 5x = 3(x + 7) + -5 Reorder the terms: 14 + 5x = 3(7 + x) + -5 14 + 5x = (7 * 3 + x * 3) + -5 14 + 5x = (21 + 3x) + -5 Reorder the terms: 14 + 5x = 21 + -5 + 3x Combine like terms: 21 + -5 = 16 14 + 5x = 16 + 3x Solving 14 + 5x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 5x + -3x = 16 + 3x + -3x Combine like terms: 5x + -3x = 2x 14 + 2x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 2x = 16 + 0 14 + 2x = 16 Add '-14' to each side of the equation. 14 + -14 + 2x = 16 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 16 + -14 2x = 16 + -14 Combine like terms: 16 + -14 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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