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Simplifying 3x + 2 = 7x + 4x + -1 Reorder the terms: 2 + 3x = 7x + 4x + -1 Reorder the terms: 2 + 3x = -1 + 7x + 4x Combine like terms: 7x + 4x = 11x 2 + 3x = -1 + 11x Solving 2 + 3x = -1 + 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 = -1 + 11x + -11x Combine like terms: 3x + -11x = -8x 2 + -8x = -1 + 11x + -11x Combine like terms: 11x + -11x = 0 2 + -8x = -1 + 0 2 + -8x = -1 Add '-2' to each side of the equation. 2 + -2 + -8x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -1 + -2 -8x = -1 + -2 Combine like terms: -1 + -2 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375
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