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Simplifying 3x(2x + 2) + -8 = x(6x + -4) + 22 Reorder the terms: 3x(2 + 2x) + -8 = x(6x + -4) + 22 (2 * 3x + 2x * 3x) + -8 = x(6x + -4) + 22 (6x + 6x2) + -8 = x(6x + -4) + 22 Reorder the terms: -8 + 6x + 6x2 = x(6x + -4) + 22 Reorder the terms: -8 + 6x + 6x2 = x(-4 + 6x) + 22 -8 + 6x + 6x2 = (-4 * x + 6x * x) + 22 -8 + 6x + 6x2 = (-4x + 6x2) + 22 Reorder the terms: -8 + 6x + 6x2 = 22 + -4x + 6x2 Add '-6x2' to each side of the equation. -8 + 6x + 6x2 + -6x2 = 22 + -4x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -8 + 6x + 0 = 22 + -4x + 6x2 + -6x2 -8 + 6x = 22 + -4x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -8 + 6x = 22 + -4x + 0 -8 + 6x = 22 + -4x Solving -8 + 6x = 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. -8 + 6x + 4x = 22 + -4x + 4x Combine like terms: 6x + 4x = 10x -8 + 10x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 10x = 22 + 0 -8 + 10x = 22 Add '8' to each side of the equation. -8 + 8 + 10x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 22 + 8 10x = 22 + 8 Combine like terms: 22 + 8 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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