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Simplifying -7(x + -5) + 3(x + 2) = 0 Reorder the terms: -7(-5 + x) + 3(x + 2) = 0 (-5 * -7 + x * -7) + 3(x + 2) = 0 (35 + -7x) + 3(x + 2) = 0 Reorder the terms: 35 + -7x + 3(2 + x) = 0 35 + -7x + (2 * 3 + x * 3) = 0 35 + -7x + (6 + 3x) = 0 Reorder the terms: 35 + 6 + -7x + 3x = 0 Combine like terms: 35 + 6 = 41 41 + -7x + 3x = 0 Combine like terms: -7x + 3x = -4x 41 + -4x = 0 Solving 41 + -4x = 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 + -4x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -4x = 0 + -41 -4x = 0 + -41 Combine like terms: 0 + -41 = -41 -4x = -41 Divide each side by '-4'. x = 10.25 Simplifying x = 10.25
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