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Simplifying 5(2x + -5) + 3(4x + 1) = 0 Reorder the terms: 5(-5 + 2x) + 3(4x + 1) = 0 (-5 * 5 + 2x * 5) + 3(4x + 1) = 0 (-25 + 10x) + 3(4x + 1) = 0 Reorder the terms: -25 + 10x + 3(1 + 4x) = 0 -25 + 10x + (1 * 3 + 4x * 3) = 0 -25 + 10x + (3 + 12x) = 0 Reorder the terms: -25 + 3 + 10x + 12x = 0 Combine like terms: -25 + 3 = -22 -22 + 10x + 12x = 0 Combine like terms: 10x + 12x = 22x -22 + 22x = 0 Solving -22 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 22x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 22x = 0 + 22 22x = 0 + 22 Combine like terms: 0 + 22 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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