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Simplifying -6(3 + 7x) + 2 = -16 + -4x (3 * -6 + 7x * -6) + 2 = -16 + -4x (-18 + -42x) + 2 = -16 + -4x Reorder the terms: -18 + 2 + -42x = -16 + -4x Combine like terms: -18 + 2 = -16 -16 + -42x = -16 + -4x Add '16' to each side of the equation. -16 + 16 + -42x = -16 + 16 + -4x Combine like terms: -16 + 16 = 0 0 + -42x = -16 + 16 + -4x -42x = -16 + 16 + -4x Combine like terms: -16 + 16 = 0 -42x = 0 + -4x -42x = -4x Solving -42x = -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. -42x + 4x = -4x + 4x Combine like terms: -42x + 4x = -38x -38x = -4x + 4x Combine like terms: -4x + 4x = 0 -38x = 0 Divide each side by '-38'. x = 0 Simplifying x = 0
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