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Simplifying 7(6w + -1) + x = 36 Reorder the terms: 7(-1 + 6w) + x = 36 (-1 * 7 + 6w * 7) + x = 36 (-7 + 42w) + x = 36 Solving -7 + 42w + x = 36 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 42w + 7 + x = 36 + 7 Reorder the terms: -7 + 7 + 42w + x = 36 + 7 Combine like terms: -7 + 7 = 0 0 + 42w + x = 36 + 7 42w + x = 36 + 7 Combine like terms: 36 + 7 = 43 42w + x = 43 Add '-1x' to each side of the equation. 42w + x + -1x = 43 + -1x Combine like terms: x + -1x = 0 42w + 0 = 43 + -1x 42w = 43 + -1x Divide each side by '42'. w = 1.023809524 + -0.02380952381x Simplifying w = 1.023809524 + -0.02380952381x
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