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Simplifying 2x(2x + 4) + -11 = 4x(x + -5) + 18 Reorder the terms: 2x(4 + 2x) + -11 = 4x(x + -5) + 18 (4 * 2x + 2x * 2x) + -11 = 4x(x + -5) + 18 (8x + 4x2) + -11 = 4x(x + -5) + 18 Reorder the terms: -11 + 8x + 4x2 = 4x(x + -5) + 18 Reorder the terms: -11 + 8x + 4x2 = 4x(-5 + x) + 18 -11 + 8x + 4x2 = (-5 * 4x + x * 4x) + 18 -11 + 8x + 4x2 = (-20x + 4x2) + 18 Reorder the terms: -11 + 8x + 4x2 = 18 + -20x + 4x2 Add '-4x2' to each side of the equation. -11 + 8x + 4x2 + -4x2 = 18 + -20x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -11 + 8x + 0 = 18 + -20x + 4x2 + -4x2 -11 + 8x = 18 + -20x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -11 + 8x = 18 + -20x + 0 -11 + 8x = 18 + -20x Solving -11 + 8x = 18 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -11 + 8x + 20x = 18 + -20x + 20x Combine like terms: 8x + 20x = 28x -11 + 28x = 18 + -20x + 20x Combine like terms: -20x + 20x = 0 -11 + 28x = 18 + 0 -11 + 28x = 18 Add '11' to each side of the equation. -11 + 11 + 28x = 18 + 11 Combine like terms: -11 + 11 = 0 0 + 28x = 18 + 11 28x = 18 + 11 Combine like terms: 18 + 11 = 29 28x = 29 Divide each side by '28'. x = 1.035714286 Simplifying x = 1.035714286
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