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Simplifying 23w + -1x + 4x + -7 + 12 = 2w + -6x + 45 + -67 Reorder the terms: -7 + 12 + 23w + -1x + 4x = 2w + -6x + 45 + -67 Combine like terms: -7 + 12 = 5 5 + 23w + -1x + 4x = 2w + -6x + 45 + -67 Combine like terms: -1x + 4x = 3x 5 + 23w + 3x = 2w + -6x + 45 + -67 Reorder the terms: 5 + 23w + 3x = 45 + -67 + 2w + -6x Combine like terms: 45 + -67 = -22 5 + 23w + 3x = -22 + 2w + -6x Solving 5 + 23w + 3x = -22 + 2w + -6x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 5 + 23w + -2w + 3x = -22 + 2w + -2w + -6x Combine like terms: 23w + -2w = 21w 5 + 21w + 3x = -22 + 2w + -2w + -6x Combine like terms: 2w + -2w = 0 5 + 21w + 3x = -22 + 0 + -6x 5 + 21w + 3x = -22 + -6x Add '-5' to each side of the equation. 5 + 21w + -5 + 3x = -22 + -5 + -6x Reorder the terms: 5 + -5 + 21w + 3x = -22 + -5 + -6x Combine like terms: 5 + -5 = 0 0 + 21w + 3x = -22 + -5 + -6x 21w + 3x = -22 + -5 + -6x Combine like terms: -22 + -5 = -27 21w + 3x = -27 + -6x Add '-3x' to each side of the equation. 21w + 3x + -3x = -27 + -6x + -3x Combine like terms: 3x + -3x = 0 21w + 0 = -27 + -6x + -3x 21w = -27 + -6x + -3x Combine like terms: -6x + -3x = -9x 21w = -27 + -9x Divide each side by '21'. w = -1.285714286 + -0.4285714286x Simplifying w = -1.285714286 + -0.4285714286x
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