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Simplifying 6x + -37 = 11x + 78 Reorder the terms: -37 + 6x = 11x + 78 Reorder the terms: -37 + 6x = 78 + 11x Solving -37 + 6x = 78 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -37 + 6x + -11x = 78 + 11x + -11x Combine like terms: 6x + -11x = -5x -37 + -5x = 78 + 11x + -11x Combine like terms: 11x + -11x = 0 -37 + -5x = 78 + 0 -37 + -5x = 78 Add '37' to each side of the equation. -37 + 37 + -5x = 78 + 37 Combine like terms: -37 + 37 = 0 0 + -5x = 78 + 37 -5x = 78 + 37 Combine like terms: 78 + 37 = 115 -5x = 115 Divide each side by '-5'. x = -23 Simplifying x = -23
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