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Simplifying 0 = 2(x + 7) + 3(x + 1) Reorder the terms: 0 = 2(7 + x) + 3(x + 1) 0 = (7 * 2 + x * 2) + 3(x + 1) 0 = (14 + 2x) + 3(x + 1) Reorder the terms: 0 = 14 + 2x + 3(1 + x) 0 = 14 + 2x + (1 * 3 + x * 3) 0 = 14 + 2x + (3 + 3x) Reorder the terms: 0 = 14 + 3 + 2x + 3x Combine like terms: 14 + 3 = 17 0 = 17 + 2x + 3x Combine like terms: 2x + 3x = 5x 0 = 17 + 5x Solving 0 = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0 + -5x = 17 + 5x + -5x Remove the zero: -5x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -5x = 17 + 0 -5x = 17 Divide each side by '-5'. x = -3.4 Simplifying x = -3.4
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