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Simplifying -7(x + 5) + 5(2x + 1) = 0 Reorder the terms: -7(5 + x) + 5(2x + 1) = 0 (5 * -7 + x * -7) + 5(2x + 1) = 0 (-35 + -7x) + 5(2x + 1) = 0 Reorder the terms: -35 + -7x + 5(1 + 2x) = 0 -35 + -7x + (1 * 5 + 2x * 5) = 0 -35 + -7x + (5 + 10x) = 0 Reorder the terms: -35 + 5 + -7x + 10x = 0 Combine like terms: -35 + 5 = -30 -30 + -7x + 10x = 0 Combine like terms: -7x + 10x = 3x -30 + 3x = 0 Solving -30 + 3x = 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 + 3x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = 0 + 30 3x = 0 + 30 Combine like terms: 0 + 30 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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