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Simplifying 7 + 3w + -12x = 3x + 1 Reorder the terms: 7 + 3w + -12x = 1 + 3x Solving 7 + 3w + -12x = 1 + 3x 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 + 3w + -7 + -12x = 1 + -7 + 3x Reorder the terms: 7 + -7 + 3w + -12x = 1 + -7 + 3x Combine like terms: 7 + -7 = 0 0 + 3w + -12x = 1 + -7 + 3x 3w + -12x = 1 + -7 + 3x Combine like terms: 1 + -7 = -6 3w + -12x = -6 + 3x Add '12x' to each side of the equation. 3w + -12x + 12x = -6 + 3x + 12x Combine like terms: -12x + 12x = 0 3w + 0 = -6 + 3x + 12x 3w = -6 + 3x + 12x Combine like terms: 3x + 12x = 15x 3w = -6 + 15x Divide each side by '3'. w = -2 + 5x Simplifying w = -2 + 5x
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