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Simplifying 10x + 37 = x + 46 Reorder the terms: 37 + 10x = x + 46 Reorder the terms: 37 + 10x = 46 + x Solving 37 + 10x = 46 + 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 + 10x + -1x = 46 + x + -1x Combine like terms: 10x + -1x = 9x 37 + 9x = 46 + x + -1x Combine like terms: x + -1x = 0 37 + 9x = 46 + 0 37 + 9x = 46 Add '-37' to each side of the equation. 37 + -37 + 9x = 46 + -37 Combine like terms: 37 + -37 = 0 0 + 9x = 46 + -37 9x = 46 + -37 Combine like terms: 46 + -37 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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