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Simplifying 5(20 + -7x) + -2(3x + -20) = 0 (20 * 5 + -7x * 5) + -2(3x + -20) = 0 (100 + -35x) + -2(3x + -20) = 0 Reorder the terms: 100 + -35x + -2(-20 + 3x) = 0 100 + -35x + (-20 * -2 + 3x * -2) = 0 100 + -35x + (40 + -6x) = 0 Reorder the terms: 100 + 40 + -35x + -6x = 0 Combine like terms: 100 + 40 = 140 140 + -35x + -6x = 0 Combine like terms: -35x + -6x = -41x 140 + -41x = 0 Solving 140 + -41x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -41x = 0 + -140 Combine like terms: 140 + -140 = 0 0 + -41x = 0 + -140 -41x = 0 + -140 Combine like terms: 0 + -140 = -140 -41x = -140 Divide each side by '-41'. x = 3.414634146 Simplifying x = 3.414634146
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