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Simplifying 3x + -2 = 11x + -42 Reorder the terms: -2 + 3x = 11x + -42 Reorder the terms: -2 + 3x = -42 + 11x Solving -2 + 3x = -42 + 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. -2 + 3x + -11x = -42 + 11x + -11x Combine like terms: 3x + -11x = -8x -2 + -8x = -42 + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + -8x = -42 + 0 -2 + -8x = -42 Add '2' to each side of the equation. -2 + 2 + -8x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -42 + 2 -8x = -42 + 2 Combine like terms: -42 + 2 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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