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Simplifying x2 + -4x + -32 = x2 + -7x + 10 Reorder the terms: -32 + -4x + x2 = x2 + -7x + 10 Reorder the terms: -32 + -4x + x2 = 10 + -7x + x2 Add '-1x2' to each side of the equation. -32 + -4x + x2 + -1x2 = 10 + -7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -32 + -4x + 0 = 10 + -7x + x2 + -1x2 -32 + -4x = 10 + -7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -32 + -4x = 10 + -7x + 0 -32 + -4x = 10 + -7x Solving -32 + -4x = 10 + -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. -32 + -4x + 7x = 10 + -7x + 7x Combine like terms: -4x + 7x = 3x -32 + 3x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 -32 + 3x = 10 + 0 -32 + 3x = 10 Add '32' to each side of the equation. -32 + 32 + 3x = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = 10 + 32 3x = 10 + 32 Combine like terms: 10 + 32 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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