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Simplifying 6x + 37 = x + 17 Reorder the terms: 37 + 6x = x + 17 Reorder the terms: 37 + 6x = 17 + x Solving 37 + 6x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 37 + 6x + -1x = 17 + x + -1x Combine like terms: 6x + -1x = 5x 37 + 5x = 17 + x + -1x Combine like terms: x + -1x = 0 37 + 5x = 17 + 0 37 + 5x = 17 Add '-37' to each side of the equation. 37 + -37 + 5x = 17 + -37 Combine like terms: 37 + -37 = 0 0 + 5x = 17 + -37 5x = 17 + -37 Combine like terms: 17 + -37 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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