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Simplifying 12 + -3(2w + 1) = 7x + -3(7 + w) Reorder the terms: 12 + -3(1 + 2w) = 7x + -3(7 + w) 12 + (1 * -3 + 2w * -3) = 7x + -3(7 + w) 12 + (-3 + -6w) = 7x + -3(7 + w) Combine like terms: 12 + -3 = 9 9 + -6w = 7x + -3(7 + w) 9 + -6w = 7x + (7 * -3 + w * -3) 9 + -6w = 7x + (-21 + -3w) Reorder the terms: 9 + -6w = -21 + -3w + 7x Solving 9 + -6w = -21 + -3w + 7x 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. 9 + -6w + 3w = -21 + -3w + 3w + 7x Combine like terms: -6w + 3w = -3w 9 + -3w = -21 + -3w + 3w + 7x Combine like terms: -3w + 3w = 0 9 + -3w = -21 + 0 + 7x 9 + -3w = -21 + 7x Add '-9' to each side of the equation. 9 + -9 + -3w = -21 + -9 + 7x Combine like terms: 9 + -9 = 0 0 + -3w = -21 + -9 + 7x -3w = -21 + -9 + 7x Combine like terms: -21 + -9 = -30 -3w = -30 + 7x Divide each side by '-3'. w = 10 + -2.333333333x Simplifying w = 10 + -2.333333333x
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