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Simplifying 4x + 7x + 5 = 3x + 2x + -1 Reorder the terms: 5 + 4x + 7x = 3x + 2x + -1 Combine like terms: 4x + 7x = 11x 5 + 11x = 3x + 2x + -1 Reorder the terms: 5 + 11x = -1 + 3x + 2x Combine like terms: 3x + 2x = 5x 5 + 11x = -1 + 5x Solving 5 + 11x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 11x + -5x = -1 + 5x + -5x Combine like terms: 11x + -5x = 6x 5 + 6x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 6x = -1 + 0 5 + 6x = -1 Add '-5' to each side of the equation. 5 + -5 + 6x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = -1 + -5 6x = -1 + -5 Combine like terms: -1 + -5 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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