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Simplifying 5x + 38 + -6x = 1 + -9x + 5 Reorder the terms: 38 + 5x + -6x = 1 + -9x + 5 Combine like terms: 5x + -6x = -1x 38 + -1x = 1 + -9x + 5 Reorder the terms: 38 + -1x = 1 + 5 + -9x Combine like terms: 1 + 5 = 6 38 + -1x = 6 + -9x Solving 38 + -1x = 6 + -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. 38 + -1x + 9x = 6 + -9x + 9x Combine like terms: -1x + 9x = 8x 38 + 8x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 38 + 8x = 6 + 0 38 + 8x = 6 Add '-38' to each side of the equation. 38 + -38 + 8x = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 8x = 6 + -38 8x = 6 + -38 Combine like terms: 6 + -38 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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