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Simplifying 6(w + -11) + -2 = 2(x + -22) Reorder the terms: 6(-11 + w) + -2 = 2(x + -22) (-11 * 6 + w * 6) + -2 = 2(x + -22) (-66 + 6w) + -2 = 2(x + -22) Reorder the terms: -66 + -2 + 6w = 2(x + -22) Combine like terms: -66 + -2 = -68 -68 + 6w = 2(x + -22) Reorder the terms: -68 + 6w = 2(-22 + x) -68 + 6w = (-22 * 2 + x * 2) -68 + 6w = (-44 + 2x) Solving -68 + 6w = -44 + 2x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + 6w = -44 + 68 + 2x Combine like terms: -68 + 68 = 0 0 + 6w = -44 + 68 + 2x 6w = -44 + 68 + 2x Combine like terms: -44 + 68 = 24 6w = 24 + 2x Divide each side by '6'. w = 4 + 0.3333333333x Simplifying w = 4 + 0.3333333333x
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