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Simplifying 3x + -2 + 5(2x + 7) = 0 Reorder the terms: 3x + -2 + 5(7 + 2x) = 0 3x + -2 + (7 * 5 + 2x * 5) = 0 3x + -2 + (35 + 10x) = 0 Reorder the terms: -2 + 35 + 3x + 10x = 0 Combine like terms: -2 + 35 = 33 33 + 3x + 10x = 0 Combine like terms: 3x + 10x = 13x 33 + 13x = 0 Solving 33 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 13x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 13x = 0 + -33 13x = 0 + -33 Combine like terms: 0 + -33 = -33 13x = -33 Divide each side by '13'. x = -2.538461538 Simplifying x = -2.538461538
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