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Simplifying 4x + 6 + 7x + -2 = 3x + -8 + -1 + 3 Reorder the terms: 6 + -2 + 4x + 7x = 3x + -8 + -1 + 3 Combine like terms: 6 + -2 = 4 4 + 4x + 7x = 3x + -8 + -1 + 3 Combine like terms: 4x + 7x = 11x 4 + 11x = 3x + -8 + -1 + 3 Reorder the terms: 4 + 11x = -8 + -1 + 3 + 3x Combine like terms: -8 + -1 = -9 4 + 11x = -9 + 3 + 3x Combine like terms: -9 + 3 = -6 4 + 11x = -6 + 3x Solving 4 + 11x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 11x + -3x = -6 + 3x + -3x Combine like terms: 11x + -3x = 8x 4 + 8x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 8x = -6 + 0 4 + 8x = -6 Add '-4' to each side of the equation. 4 + -4 + 8x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = -6 + -4 8x = -6 + -4 Combine like terms: -6 + -4 = -10 8x = -10 Divide each side by '8'. x = -1.25 Simplifying x = -1.25
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