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Simplifying 4x + -1 + 7x + 3 = 8x + 4 + -3x + 10 Reorder the terms: -1 + 3 + 4x + 7x = 8x + 4 + -3x + 10 Combine like terms: -1 + 3 = 2 2 + 4x + 7x = 8x + 4 + -3x + 10 Combine like terms: 4x + 7x = 11x 2 + 11x = 8x + 4 + -3x + 10 Reorder the terms: 2 + 11x = 4 + 10 + 8x + -3x Combine like terms: 4 + 10 = 14 2 + 11x = 14 + 8x + -3x Combine like terms: 8x + -3x = 5x 2 + 11x = 14 + 5x Solving 2 + 11x = 14 + 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. 2 + 11x + -5x = 14 + 5x + -5x Combine like terms: 11x + -5x = 6x 2 + 6x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 6x = 14 + 0 2 + 6x = 14 Add '-2' to each side of the equation. 2 + -2 + 6x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 14 + -2 6x = 14 + -2 Combine like terms: 14 + -2 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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