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Simplifying 3w + -6 + 3(2x + 1) = -7(w + 3) Reorder the terms: 3w + -6 + 3(1 + 2x) = -7(w + 3) 3w + -6 + (1 * 3 + 2x * 3) = -7(w + 3) 3w + -6 + (3 + 6x) = -7(w + 3) Reorder the terms: -6 + 3 + 3w + 6x = -7(w + 3) Combine like terms: -6 + 3 = -3 -3 + 3w + 6x = -7(w + 3) Reorder the terms: -3 + 3w + 6x = -7(3 + w) -3 + 3w + 6x = (3 * -7 + w * -7) -3 + 3w + 6x = (-21 + -7w) Solving -3 + 3w + 6x = -21 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -3 + 3w + 7w + 6x = -21 + -7w + 7w Combine like terms: 3w + 7w = 10w -3 + 10w + 6x = -21 + -7w + 7w Combine like terms: -7w + 7w = 0 -3 + 10w + 6x = -21 + 0 -3 + 10w + 6x = -21 Add '3' to each side of the equation. -3 + 10w + 3 + 6x = -21 + 3 Reorder the terms: -3 + 3 + 10w + 6x = -21 + 3 Combine like terms: -3 + 3 = 0 0 + 10w + 6x = -21 + 3 10w + 6x = -21 + 3 Combine like terms: -21 + 3 = -18 10w + 6x = -18 Add '-6x' to each side of the equation. 10w + 6x + -6x = -18 + -6x Combine like terms: 6x + -6x = 0 10w + 0 = -18 + -6x 10w = -18 + -6x Divide each side by '10'. w = -1.8 + -0.6x Simplifying w = -1.8 + -0.6x
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