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Simplifying 3x + 37 + -5x = 2 + -6x + 3 Reorder the terms: 37 + 3x + -5x = 2 + -6x + 3 Combine like terms: 3x + -5x = -2x 37 + -2x = 2 + -6x + 3 Reorder the terms: 37 + -2x = 2 + 3 + -6x Combine like terms: 2 + 3 = 5 37 + -2x = 5 + -6x Solving 37 + -2x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 37 + -2x + 6x = 5 + -6x + 6x Combine like terms: -2x + 6x = 4x 37 + 4x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 37 + 4x = 5 + 0 37 + 4x = 5 Add '-37' to each side of the equation. 37 + -37 + 4x = 5 + -37 Combine like terms: 37 + -37 = 0 0 + 4x = 5 + -37 4x = 5 + -37 Combine like terms: 5 + -37 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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