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Simplifying 5x + 14 = 2(x + 5) + 19 Reorder the terms: 14 + 5x = 2(x + 5) + 19 Reorder the terms: 14 + 5x = 2(5 + x) + 19 14 + 5x = (5 * 2 + x * 2) + 19 14 + 5x = (10 + 2x) + 19 Reorder the terms: 14 + 5x = 10 + 19 + 2x Combine like terms: 10 + 19 = 29 14 + 5x = 29 + 2x Solving 14 + 5x = 29 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 5x + -2x = 29 + 2x + -2x Combine like terms: 5x + -2x = 3x 14 + 3x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 3x = 29 + 0 14 + 3x = 29 Add '-14' to each side of the equation. 14 + -14 + 3x = 29 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 29 + -14 3x = 29 + -14 Combine like terms: 29 + -14 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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