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Simplifying (4x + 10) + (-5x + 20) = 0 Reorder the terms: (10 + 4x) + (-5x + 20) = 0 Remove parenthesis around (10 + 4x) 10 + 4x + (-5x + 20) = 0 Reorder the terms: 10 + 4x + (20 + -5x) = 0 Remove parenthesis around (20 + -5x) 10 + 4x + 20 + -5x = 0 Reorder the terms: 10 + 20 + 4x + -5x = 0 Combine like terms: 10 + 20 = 30 30 + 4x + -5x = 0 Combine like terms: 4x + -5x = -1x 30 + -1x = 0 Solving 30 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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