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Simplifying 2(5x + 7) + -1(3x + -2) = 0 Reorder the terms: 2(7 + 5x) + -1(3x + -2) = 0 (7 * 2 + 5x * 2) + -1(3x + -2) = 0 (14 + 10x) + -1(3x + -2) = 0 Reorder the terms: 14 + 10x + -1(-2 + 3x) = 0 14 + 10x + (-2 * -1 + 3x * -1) = 0 14 + 10x + (2 + -3x) = 0 Reorder the terms: 14 + 2 + 10x + -3x = 0 Combine like terms: 14 + 2 = 16 16 + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x 16 + 7x = 0 Solving 16 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 0 + -16 7x = 0 + -16 Combine like terms: 0 + -16 = -16 7x = -16 Divide each side by '7'. x = -2.285714286 Simplifying x = -2.285714286
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