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Simplifying 37 + 24x = 79 + 10x Solving 37 + 24x = 79 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 37 + 24x + -10x = 79 + 10x + -10x Combine like terms: 24x + -10x = 14x 37 + 14x = 79 + 10x + -10x Combine like terms: 10x + -10x = 0 37 + 14x = 79 + 0 37 + 14x = 79 Add '-37' to each side of the equation. 37 + -37 + 14x = 79 + -37 Combine like terms: 37 + -37 = 0 0 + 14x = 79 + -37 14x = 79 + -37 Combine like terms: 79 + -37 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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