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Simplifying 4x + 38 = 9x + -2 Reorder the terms: 38 + 4x = 9x + -2 Reorder the terms: 38 + 4x = -2 + 9x Solving 38 + 4x = -2 + 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 + 4x + -9x = -2 + 9x + -9x Combine like terms: 4x + -9x = -5x 38 + -5x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 38 + -5x = -2 + 0 38 + -5x = -2 Add '-38' to each side of the equation. 38 + -38 + -5x = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = -2 + -38 -5x = -2 + -38 Combine like terms: -2 + -38 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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