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Simplifying 5(x + 7) + -3(x + 2) = 0 Reorder the terms: 5(7 + x) + -3(x + 2) = 0 (7 * 5 + x * 5) + -3(x + 2) = 0 (35 + 5x) + -3(x + 2) = 0 Reorder the terms: 35 + 5x + -3(2 + x) = 0 35 + 5x + (2 * -3 + x * -3) = 0 35 + 5x + (-6 + -3x) = 0 Reorder the terms: 35 + -6 + 5x + -3x = 0 Combine like terms: 35 + -6 = 29 29 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 29 + 2x = 0 Solving 29 + 2x = 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 + 2x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 2x = 0 + -29 2x = 0 + -29 Combine like terms: 0 + -29 = -29 2x = -29 Divide each side by '2'. x = -14.5 Simplifying x = -14.5
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