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Simplifying 4x + -2(5x + -1) = 2 + 6x Reorder the terms: 4x + -2(-1 + 5x) = 2 + 6x 4x + (-1 * -2 + 5x * -2) = 2 + 6x 4x + (2 + -10x) = 2 + 6x Reorder the terms: 2 + 4x + -10x = 2 + 6x Combine like terms: 4x + -10x = -6x 2 + -6x = 2 + 6x Add '-2' to each side of the equation. 2 + -2 + -6x = 2 + -2 + 6x Combine like terms: 2 + -2 = 0 0 + -6x = 2 + -2 + 6x -6x = 2 + -2 + 6x Combine like terms: 2 + -2 = 0 -6x = 0 + 6x -6x = 6x Solving -6x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6x + -6x = 6x + -6x Combine like terms: -6x + -6x = -12x -12x = 6x + -6x Combine like terms: 6x + -6x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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