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Simplifying 2x + -6 + 3x = 2x + 5(x + -1w) Reorder the terms: -6 + 2x + 3x = 2x + 5(x + -1w) Combine like terms: 2x + 3x = 5x -6 + 5x = 2x + 5(x + -1w) Reorder the terms: -6 + 5x = 2x + 5(-1w + x) -6 + 5x = 2x + (-1w * 5 + x * 5) -6 + 5x = 2x + (-5w + 5x) Reorder the terms: -6 + 5x = -5w + 2x + 5x Combine like terms: 2x + 5x = 7x -6 + 5x = -5w + 7x Solving -6 + 5x = -5w + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 5x + -7x = -5w + 7x + -7x Combine like terms: 5x + -7x = -2x -6 + -2x = -5w + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -2x = -5w + 0 -6 + -2x = -5w Add '6' to each side of the equation. -6 + 6 + -2x = 6 + -5w Combine like terms: -6 + 6 = 0 0 + -2x = 6 + -5w -2x = 6 + -5w Divide each side by '-2'. x = -3 + 2.5w Simplifying x = -3 + 2.5w
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