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Simplifying 3(3x + 5) + 2(7 + -2x) = 0 Reorder the terms: 3(5 + 3x) + 2(7 + -2x) = 0 (5 * 3 + 3x * 3) + 2(7 + -2x) = 0 (15 + 9x) + 2(7 + -2x) = 0 15 + 9x + (7 * 2 + -2x * 2) = 0 15 + 9x + (14 + -4x) = 0 Reorder the terms: 15 + 14 + 9x + -4x = 0 Combine like terms: 15 + 14 = 29 29 + 9x + -4x = 0 Combine like terms: 9x + -4x = 5x 29 + 5x = 0 Solving 29 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 5x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 5x = 0 + -29 5x = 0 + -29 Combine like terms: 0 + -29 = -29 5x = -29 Divide each side by '5'. x = -5.8 Simplifying x = -5.8
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