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Simplifying -2(w + 2) + 3(x + 1) = 0 Reorder the terms: -2(2 + w) + 3(x + 1) = 0 (2 * -2 + w * -2) + 3(x + 1) = 0 (-4 + -2w) + 3(x + 1) = 0 Reorder the terms: -4 + -2w + 3(1 + x) = 0 -4 + -2w + (1 * 3 + x * 3) = 0 -4 + -2w + (3 + 3x) = 0 Reorder the terms: -4 + 3 + -2w + 3x = 0 Combine like terms: -4 + 3 = -1 -1 + -2w + 3x = 0 Solving -1 + -2w + 3x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2w + 1 + 3x = 0 + 1 Reorder the terms: -1 + 1 + -2w + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2w + 3x = 0 + 1 -2w + 3x = 0 + 1 Combine like terms: 0 + 1 = 1 -2w + 3x = 1 Add '-3x' to each side of the equation. -2w + 3x + -3x = 1 + -3x Combine like terms: 3x + -3x = 0 -2w + 0 = 1 + -3x -2w = 1 + -3x Divide each side by '-2'. w = -0.5 + 1.5x Simplifying w = -0.5 + 1.5x
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