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Simplifying 7x + 19 = 2(x + 7) Reorder the terms: 19 + 7x = 2(x + 7) Reorder the terms: 19 + 7x = 2(7 + x) 19 + 7x = (7 * 2 + x * 2) 19 + 7x = (14 + 2x) Solving 19 + 7x = 14 + 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. 19 + 7x + -2x = 14 + 2x + -2x Combine like terms: 7x + -2x = 5x 19 + 5x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 5x = 14 + 0 19 + 5x = 14 Add '-19' to each side of the equation. 19 + -19 + 5x = 14 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 14 + -19 5x = 14 + -19 Combine like terms: 14 + -19 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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