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Simplifying 3x + 8 + -1x = 4x + -2(w + -4) Reorder the terms: 8 + 3x + -1x = 4x + -2(w + -4) Combine like terms: 3x + -1x = 2x 8 + 2x = 4x + -2(w + -4) Reorder the terms: 8 + 2x = 4x + -2(-4 + w) 8 + 2x = 4x + (-4 * -2 + w * -2) 8 + 2x = 4x + (8 + -2w) Reorder the terms: 8 + 2x = 8 + -2w + 4x Add '-8' to each side of the equation. 8 + -8 + 2x = 8 + -2w + -8 + 4x Combine like terms: 8 + -8 = 0 0 + 2x = 8 + -2w + -8 + 4x 2x = 8 + -2w + -8 + 4x Reorder the terms: 2x = 8 + -8 + -2w + 4x Combine like terms: 8 + -8 = 0 2x = 0 + -2w + 4x 2x = -2w + 4x Solving 2x = -2w + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2x + -4x = -2w + 4x + -4x Combine like terms: 2x + -4x = -2x -2x = -2w + 4x + -4x Combine like terms: 4x + -4x = 0 -2x = -2w + 0 -2x = -2w Divide each side by '-2'. x = w Simplifying x = w
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