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Simplifying 3x(x + -4) + -2 = x(3x + -4) + 22 Reorder the terms: 3x(-4 + x) + -2 = x(3x + -4) + 22 (-4 * 3x + x * 3x) + -2 = x(3x + -4) + 22 (-12x + 3x2) + -2 = x(3x + -4) + 22 Reorder the terms: -2 + -12x + 3x2 = x(3x + -4) + 22 Reorder the terms: -2 + -12x + 3x2 = x(-4 + 3x) + 22 -2 + -12x + 3x2 = (-4 * x + 3x * x) + 22 -2 + -12x + 3x2 = (-4x + 3x2) + 22 Reorder the terms: -2 + -12x + 3x2 = 22 + -4x + 3x2 Add '-3x2' to each side of the equation. -2 + -12x + 3x2 + -3x2 = 22 + -4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2 + -12x + 0 = 22 + -4x + 3x2 + -3x2 -2 + -12x = 22 + -4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2 + -12x = 22 + -4x + 0 -2 + -12x = 22 + -4x Solving -2 + -12x = 22 + -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. -2 + -12x + 4x = 22 + -4x + 4x Combine like terms: -12x + 4x = -8x -2 + -8x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -8x = 22 + 0 -2 + -8x = 22 Add '2' to each side of the equation. -2 + 2 + -8x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 22 + 2 -8x = 22 + 2 Combine like terms: 22 + 2 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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