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Simplifying 4(5 + -2x) + 3(2x + 7) = 0 (5 * 4 + -2x * 4) + 3(2x + 7) = 0 (20 + -8x) + 3(2x + 7) = 0 Reorder the terms: 20 + -8x + 3(7 + 2x) = 0 20 + -8x + (7 * 3 + 2x * 3) = 0 20 + -8x + (21 + 6x) = 0 Reorder the terms: 20 + 21 + -8x + 6x = 0 Combine like terms: 20 + 21 = 41 41 + -8x + 6x = 0 Combine like terms: -8x + 6x = -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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