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Simplifying 37 + -2x = 52 + 3x Solving 37 + -2x = 52 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 37 + -2x + -3x = 52 + 3x + -3x Combine like terms: -2x + -3x = -5x 37 + -5x = 52 + 3x + -3x Combine like terms: 3x + -3x = 0 37 + -5x = 52 + 0 37 + -5x = 52 Add '-37' to each side of the equation. 37 + -37 + -5x = 52 + -37 Combine like terms: 37 + -37 = 0 0 + -5x = 52 + -37 -5x = 52 + -37 Combine like terms: 52 + -37 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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