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Simplifying 4x + 37 + -5x = 1 + -9x + 4 Reorder the terms: 37 + 4x + -5x = 1 + -9x + 4 Combine like terms: 4x + -5x = -1x 37 + -1x = 1 + -9x + 4 Reorder the terms: 37 + -1x = 1 + 4 + -9x Combine like terms: 1 + 4 = 5 37 + -1x = 5 + -9x Solving 37 + -1x = 5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 37 + -1x + 9x = 5 + -9x + 9x Combine like terms: -1x + 9x = 8x 37 + 8x = 5 + -9x + 9x Combine like terms: -9x + 9x = 0 37 + 8x = 5 + 0 37 + 8x = 5 Add '-37' to each side of the equation. 37 + -37 + 8x = 5 + -37 Combine like terms: 37 + -37 = 0 0 + 8x = 5 + -37 8x = 5 + -37 Combine like terms: 5 + -37 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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