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Simplifying -1x + 2 + 11x = -4 + 4x + 42 Reorder the terms: 2 + -1x + 11x = -4 + 4x + 42 Combine like terms: -1x + 11x = 10x 2 + 10x = -4 + 4x + 42 Reorder the terms: 2 + 10x = -4 + 42 + 4x Combine like terms: -4 + 42 = 38 2 + 10x = 38 + 4x Solving 2 + 10x = 38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 10x + -4x = 38 + 4x + -4x Combine like terms: 10x + -4x = 6x 2 + 6x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 6x = 38 + 0 2 + 6x = 38 Add '-2' to each side of the equation. 2 + -2 + 6x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 38 + -2 6x = 38 + -2 Combine like terms: 38 + -2 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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