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Simplifying 4(w + 1) + -1w = 3(x + -2) + 2 Reorder the terms: 4(1 + w) + -1w = 3(x + -2) + 2 (1 * 4 + w * 4) + -1w = 3(x + -2) + 2 (4 + 4w) + -1w = 3(x + -2) + 2 Combine like terms: 4w + -1w = 3w 4 + 3w = 3(x + -2) + 2 Reorder the terms: 4 + 3w = 3(-2 + x) + 2 4 + 3w = (-2 * 3 + x * 3) + 2 4 + 3w = (-6 + 3x) + 2 Reorder the terms: 4 + 3w = -6 + 2 + 3x Combine like terms: -6 + 2 = -4 4 + 3w = -4 + 3x Solving 4 + 3w = -4 + 3x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3w = -4 + -4 + 3x Combine like terms: 4 + -4 = 0 0 + 3w = -4 + -4 + 3x 3w = -4 + -4 + 3x Combine like terms: -4 + -4 = -8 3w = -8 + 3x Divide each side by '3'. w = -2.666666667 + x Simplifying w = -2.666666667 + x
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