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Simplifying 4x + 37 + -6x = 3 + -8x + 4 Reorder the terms: 37 + 4x + -6x = 3 + -8x + 4 Combine like terms: 4x + -6x = -2x 37 + -2x = 3 + -8x + 4 Reorder the terms: 37 + -2x = 3 + 4 + -8x Combine like terms: 3 + 4 = 7 37 + -2x = 7 + -8x Solving 37 + -2x = 7 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 37 + -2x + 8x = 7 + -8x + 8x Combine like terms: -2x + 8x = 6x 37 + 6x = 7 + -8x + 8x Combine like terms: -8x + 8x = 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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