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Simplifying 2x + 2(3x + -2) + 4 + -2(3x + 8) = 0 Reorder the terms: 2x + 2(-2 + 3x) + 4 + -2(3x + 8) = 0 2x + (-2 * 2 + 3x * 2) + 4 + -2(3x + 8) = 0 2x + (-4 + 6x) + 4 + -2(3x + 8) = 0 Reorder the terms: 2x + -4 + 6x + 4 + -2(8 + 3x) = 0 2x + -4 + 6x + 4 + (8 * -2 + 3x * -2) = 0 2x + -4 + 6x + 4 + (-16 + -6x) = 0 Reorder the terms: -4 + 4 + -16 + 2x + 6x + -6x = 0 Combine like terms: -4 + 4 = 0 0 + -16 + 2x + 6x + -6x = 0 -16 + 2x + 6x + -6x = 0 Combine like terms: 2x + 6x = 8x -16 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x -16 + 2x = 0 Solving -16 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 0 + 16 2x = 0 + 16 Combine like terms: 0 + 16 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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