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Simplifying x(x + 3) + -49 = x(x + -4) Reorder the terms: x(3 + x) + -49 = x(x + -4) (3 * x + x * x) + -49 = x(x + -4) (3x + x2) + -49 = x(x + -4) Reorder the terms: -49 + 3x + x2 = x(x + -4) Reorder the terms: -49 + 3x + x2 = x(-4 + x) -49 + 3x + x2 = (-4 * x + x * x) -49 + 3x + x2 = (-4x + x2) Add '-1x2' to each side of the equation. -49 + 3x + x2 + -1x2 = -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -49 + 3x + 0 = -4x + x2 + -1x2 -49 + 3x = -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -49 + 3x = -4x + 0 -49 + 3x = -4x Solving -49 + 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. -49 + 3x + 4x = -4x + 4x Combine like terms: 3x + 4x = 7x -49 + 7x = -4x + 4x Combine like terms: -4x + 4x = 0 -49 + 7x = 0 Add '49' to each side of the equation. -49 + 49 + 7x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 7x = 0 + 49 7x = 0 + 49 Combine like terms: 0 + 49 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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