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Simplifying 2(x + -1) + -1w = 3(w + 3) + -3 Reorder the terms: 2(-1 + x) + -1w = 3(w + 3) + -3 (-1 * 2 + x * 2) + -1w = 3(w + 3) + -3 (-2 + 2x) + -1w = 3(w + 3) + -3 Reorder the terms: -2 + -1w + 2x = 3(w + 3) + -3 Reorder the terms: -2 + -1w + 2x = 3(3 + w) + -3 -2 + -1w + 2x = (3 * 3 + w * 3) + -3 -2 + -1w + 2x = (9 + 3w) + -3 Reorder the terms: -2 + -1w + 2x = 9 + -3 + 3w Combine like terms: 9 + -3 = 6 -2 + -1w + 2x = 6 + 3w Solving -2 + -1w + 2x = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -2 + -1w + -3w + 2x = 6 + 3w + -3w Combine like terms: -1w + -3w = -4w -2 + -4w + 2x = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + -4w + 2x = 6 + 0 -2 + -4w + 2x = 6 Add '2' to each side of the equation. -2 + -4w + 2 + 2x = 6 + 2 Reorder the terms: -2 + 2 + -4w + 2x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4w + 2x = 6 + 2 -4w + 2x = 6 + 2 Combine like terms: 6 + 2 = 8 -4w + 2x = 8 Add '-2x' to each side of the equation. -4w + 2x + -2x = 8 + -2x Combine like terms: 2x + -2x = 0 -4w + 0 = 8 + -2x -4w = 8 + -2x Divide each side by '-4'. w = -2 + 0.5x Simplifying w = -2 + 0.5x
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