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Simplifying 2x + 37 + -5x = 3 + -6x + 4 Reorder the terms: 37 + 2x + -5x = 3 + -6x + 4 Combine like terms: 2x + -5x = -3x 37 + -3x = 3 + -6x + 4 Reorder the terms: 37 + -3x = 3 + 4 + -6x Combine like terms: 3 + 4 = 7 37 + -3x = 7 + -6x Solving 37 + -3x = 7 + -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 + -3x + 6x = 7 + -6x + 6x Combine like terms: -3x + 6x = 3x 37 + 3x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 37 + 3x = 7 + 0 37 + 3x = 7 Add '-37' to each side of the equation. 37 + -37 + 3x = 7 + -37 Combine like terms: 37 + -37 = 0 0 + 3x = 7 + -37 3x = 7 + -37 Combine like terms: 7 + -37 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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