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Simplifying 42 + 6x + -4 = 11x + 8 Reorder the terms: 42 + -4 + 6x = 11x + 8 Combine like terms: 42 + -4 = 38 38 + 6x = 11x + 8 Reorder the terms: 38 + 6x = 8 + 11x Solving 38 + 6x = 8 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 38 + 6x + -11x = 8 + 11x + -11x Combine like terms: 6x + -11x = -5x 38 + -5x = 8 + 11x + -11x Combine like terms: 11x + -11x = 0 38 + -5x = 8 + 0 38 + -5x = 8 Add '-38' to each side of the equation. 38 + -38 + -5x = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = 8 + -38 -5x = 8 + -38 Combine like terms: 8 + -38 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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