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Simplifying -2(3x + 1) + -2x = -3(2x) + -2 Reorder the terms: -2(1 + 3x) + -2x = -3(2x) + -2 (1 * -2 + 3x * -2) + -2x = -3(2x) + -2 (-2 + -6x) + -2x = -3(2x) + -2 Combine like terms: -6x + -2x = -8x -2 + -8x = -3(2x) + -2 Remove parenthesis around (2x) -2 + -8x = -3 * 2x + -2 Multiply -3 * 2 -2 + -8x = -6x + -2 Reorder the terms: -2 + -8x = -2 + -6x Add '2' to each side of the equation. -2 + 2 + -8x = -2 + 2 + -6x Combine like terms: -2 + 2 = 0 0 + -8x = -2 + 2 + -6x -8x = -2 + 2 + -6x Combine like terms: -2 + 2 = 0 -8x = 0 + -6x -8x = -6x Solving -8x = -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. -8x + 6x = -6x + 6x Combine like terms: -8x + 6x = -2x -2x = -6x + 6x Combine like terms: -6x + 6x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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