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Simplifying 5x + 38 = 9x + -6 Reorder the terms: 38 + 5x = 9x + -6 Reorder the terms: 38 + 5x = -6 + 9x Solving 38 + 5x = -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 + 5x + -9x = -6 + 9x + -9x Combine like terms: 5x + -9x = -4x 38 + -4x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 38 + -4x = -6 + 0 38 + -4x = -6 Add '-38' to each side of the equation. 38 + -38 + -4x = -6 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = -6 + -38 -4x = -6 + -38 Combine like terms: -6 + -38 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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