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Simplifying 4(w + -5) + -3(12 + -1x) = 7 Reorder the terms: 4(-5 + w) + -3(12 + -1x) = 7 (-5 * 4 + w * 4) + -3(12 + -1x) = 7 (-20 + 4w) + -3(12 + -1x) = 7 -20 + 4w + (12 * -3 + -1x * -3) = 7 -20 + 4w + (-36 + 3x) = 7 Reorder the terms: -20 + -36 + 4w + 3x = 7 Combine like terms: -20 + -36 = -56 -56 + 4w + 3x = 7 Solving -56 + 4w + 3x = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 4w + 56 + 3x = 7 + 56 Reorder the terms: -56 + 56 + 4w + 3x = 7 + 56 Combine like terms: -56 + 56 = 0 0 + 4w + 3x = 7 + 56 4w + 3x = 7 + 56 Combine like terms: 7 + 56 = 63 4w + 3x = 63 Add '-3x' to each side of the equation. 4w + 3x + -3x = 63 + -3x Combine like terms: 3x + -3x = 0 4w + 0 = 63 + -3x 4w = 63 + -3x Divide each side by '4'. w = 15.75 + -0.75x Simplifying w = 15.75 + -0.75x
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