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Simplifying -6 + 3x = 5x + 7 Reorder the terms: -6 + 3x = 7 + 5x Solving -6 + 3x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 3x + -5x = 7 + 5x + -5x Combine like terms: 3x + -5x = -2x -6 + -2x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -2x = 7 + 0 -6 + -2x = 7 Add '6' to each side of the equation. -6 + 6 + -2x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 7 + 6 -2x = 7 + 6 Combine like terms: 7 + 6 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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