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Simplifying -2(3x + 1) + -1wx = -4(2x) + -4 Reorder the terms: -2(1 + 3x) + -1wx = -4(2x) + -4 (1 * -2 + 3x * -2) + -1wx = -4(2x) + -4 (-2 + -6x) + -1wx = -4(2x) + -4 Reorder the terms: -2 + -1wx + -6x = -4(2x) + -4 Remove parenthesis around (2x) -2 + -1wx + -6x = -4 * 2x + -4 Multiply -4 * 2 -2 + -1wx + -6x = -8x + -4 Reorder the terms: -2 + -1wx + -6x = -4 + -8x Solving -2 + -1wx + -6x = -4 + -8x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1wx + 2 + -6x = -4 + 2 + -8x Reorder the terms: -2 + 2 + -1wx + -6x = -4 + 2 + -8x Combine like terms: -2 + 2 = 0 0 + -1wx + -6x = -4 + 2 + -8x -1wx + -6x = -4 + 2 + -8x Combine like terms: -4 + 2 = -2 -1wx + -6x = -2 + -8x Add '6x' to each side of the equation. -1wx + -6x + 6x = -2 + -8x + 6x Combine like terms: -6x + 6x = 0 -1wx + 0 = -2 + -8x + 6x -1wx = -2 + -8x + 6x Combine like terms: -8x + 6x = -2x -1wx = -2 + -2x Divide each side by '-1x'. w = 2x-1 + 2 Simplifying w = 2x-1 + 2 Reorder the terms: w = 2 + 2x-1
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