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Simplifying (7x + -5)(2x + 1) = 5 + -1(5 + -7x * x + -2x) * 2 Reorder the terms: (-5 + 7x)(2x + 1) = 5 + -1(5 + -7x * x + -2x) * 2 Reorder the terms: (-5 + 7x)(1 + 2x) = 5 + -1(5 + -7x * x + -2x) * 2 Multiply (-5 + 7x) * (1 + 2x) (-5(1 + 2x) + 7x * (1 + 2x)) = 5 + -1(5 + -7x * x + -2x) * 2 ((1 * -5 + 2x * -5) + 7x * (1 + 2x)) = 5 + -1(5 + -7x * x + -2x) * 2 ((-5 + -10x) + 7x * (1 + 2x)) = 5 + -1(5 + -7x * x + -2x) * 2 (-5 + -10x + (1 * 7x + 2x * 7x)) = 5 + -1(5 + -7x * x + -2x) * 2 (-5 + -10x + (7x + 14x2)) = 5 + -1(5 + -7x * x + -2x) * 2 Combine like terms: -10x + 7x = -3x (-5 + -3x + 14x2) = 5 + -1(5 + -7x * x + -2x) * 2 Multiply x * x -5 + -3x + 14x2 = 5 + -1(5 + -7x2 + -2x) * 2 Reorder the terms: -5 + -3x + 14x2 = 5 + -1(5 + -2x + -7x2) * 2 Reorder the terms for easier multiplication: -5 + -3x + 14x2 = 5 + -1 * 2(5 + -2x + -7x2) Multiply -1 * 2 -5 + -3x + 14x2 = 5 + -2(5 + -2x + -7x2) -5 + -3x + 14x2 = 5 + (5 * -2 + -2x * -2 + -7x2 * -2) -5 + -3x + 14x2 = 5 + (-10 + 4x + 14x2) Combine like terms: 5 + -10 = -5 -5 + -3x + 14x2 = -5 + 4x + 14x2 Add '5' to each side of the equation. -5 + -3x + 5 + 14x2 = -5 + 4x + 5 + 14x2 Reorder the terms: -5 + 5 + -3x + 14x2 = -5 + 4x + 5 + 14x2 Combine like terms: -5 + 5 = 0 0 + -3x + 14x2 = -5 + 4x + 5 + 14x2 -3x + 14x2 = -5 + 4x + 5 + 14x2 Reorder the terms: -3x + 14x2 = -5 + 5 + 4x + 14x2 Combine like terms: -5 + 5 = 0 -3x + 14x2 = 0 + 4x + 14x2 -3x + 14x2 = 4x + 14x2 Add '-14x2' to each side of the equation. -3x + 14x2 + -14x2 = 4x + 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 -3x + 0 = 4x + 14x2 + -14x2 -3x = 4x + 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 -3x = 4x + 0 -3x = 4x Solving -3x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3x + -4x = 4x + -4x Combine like terms: -3x + -4x = -7x -7x = 4x + -4x Combine like terms: 4x + -4x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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