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Simplifying 3(x + 2) + -5(x + -7) = 0 Reorder the terms: 3(2 + x) + -5(x + -7) = 0 (2 * 3 + x * 3) + -5(x + -7) = 0 (6 + 3x) + -5(x + -7) = 0 Reorder the terms: 6 + 3x + -5(-7 + x) = 0 6 + 3x + (-7 * -5 + x * -5) = 0 6 + 3x + (35 + -5x) = 0 Reorder the terms: 6 + 35 + 3x + -5x = 0 Combine like terms: 6 + 35 = 41 41 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 41 + -2x = 0 Solving 41 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -2x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -2x = 0 + -41 -2x = 0 + -41 Combine like terms: 0 + -41 = -41 -2x = -41 Divide each side by '-2'. x = 20.5 Simplifying x = 20.5
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