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Simplifying 4x + 37 + -5x = 2 + -7x + 5 Reorder the terms: 37 + 4x + -5x = 2 + -7x + 5 Combine like terms: 4x + -5x = -1x 37 + -1x = 2 + -7x + 5 Reorder the terms: 37 + -1x = 2 + 5 + -7x Combine like terms: 2 + 5 = 7 37 + -1x = 7 + -7x Solving 37 + -1x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 37 + -1x + 7x = 7 + -7x + 7x Combine like terms: -1x + 7x = 6x 37 + 6x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 37 + 6x = 7 + 0 37 + 6x = 7 Add '-37' to each side of the equation. 37 + -37 + 6x = 7 + -37 Combine like terms: 37 + -37 = 0 0 + 6x = 7 + -37 6x = 7 + -37 Combine like terms: 7 + -37 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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