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Simplifying x2 + 6x + -40 = x2 + 4x + 4 Reorder the terms: -40 + 6x + x2 = x2 + 4x + 4 Reorder the terms: -40 + 6x + x2 = 4 + 4x + x2 Add '-1x2' to each side of the equation. -40 + 6x + x2 + -1x2 = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -40 + 6x + 0 = 4 + 4x + x2 + -1x2 -40 + 6x = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -40 + 6x = 4 + 4x + 0 -40 + 6x = 4 + 4x Solving -40 + 6x = 4 + 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. -40 + 6x + -4x = 4 + 4x + -4x Combine like terms: 6x + -4x = 2x -40 + 2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 2x = 4 + 0 -40 + 2x = 4 Add '40' to each side of the equation. -40 + 40 + 2x = 4 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = 4 + 40 2x = 4 + 40 Combine like terms: 4 + 40 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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