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Simplifying 2x(x + 5) + -11 = 2x2 + 7x + 1 Reorder the terms: 2x(5 + x) + -11 = 2x2 + 7x + 1 (5 * 2x + x * 2x) + -11 = 2x2 + 7x + 1 (10x + 2x2) + -11 = 2x2 + 7x + 1 Reorder the terms: -11 + 10x + 2x2 = 2x2 + 7x + 1 Reorder the terms: -11 + 10x + 2x2 = 1 + 7x + 2x2 Add '-2x2' to each side of the equation. -11 + 10x + 2x2 + -2x2 = 1 + 7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -11 + 10x + 0 = 1 + 7x + 2x2 + -2x2 -11 + 10x = 1 + 7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -11 + 10x = 1 + 7x + 0 -11 + 10x = 1 + 7x Solving -11 + 10x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -11 + 10x + -7x = 1 + 7x + -7x Combine like terms: 10x + -7x = 3x -11 + 3x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + 3x = 1 + 0 -11 + 3x = 1 Add '11' to each side of the equation. -11 + 11 + 3x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 1 + 11 3x = 1 + 11 Combine like terms: 1 + 11 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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