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Simplifying 4x + 6 + 3x + -4 + x + 1 = 7x + 3 + -2x + 8 + -3x + 4 Reorder the terms: 6 + -4 + 1 + 4x + 3x + x = 7x + 3 + -2x + 8 + -3x + 4 Combine like terms: 6 + -4 = 2 2 + 1 + 4x + 3x + x = 7x + 3 + -2x + 8 + -3x + 4 Combine like terms: 2 + 1 = 3 3 + 4x + 3x + x = 7x + 3 + -2x + 8 + -3x + 4 Combine like terms: 4x + 3x = 7x 3 + 7x + x = 7x + 3 + -2x + 8 + -3x + 4 Combine like terms: 7x + x = 8x 3 + 8x = 7x + 3 + -2x + 8 + -3x + 4 Reorder the terms: 3 + 8x = 3 + 8 + 4 + 7x + -2x + -3x Combine like terms: 3 + 8 = 11 3 + 8x = 11 + 4 + 7x + -2x + -3x Combine like terms: 11 + 4 = 15 3 + 8x = 15 + 7x + -2x + -3x Combine like terms: 7x + -2x = 5x 3 + 8x = 15 + 5x + -3x Combine like terms: 5x + -3x = 2x 3 + 8x = 15 + 2x Solving 3 + 8x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 8x + -2x = 15 + 2x + -2x Combine like terms: 8x + -2x = 6x 3 + 6x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 6x = 15 + 0 3 + 6x = 15 Add '-3' to each side of the equation. 3 + -3 + 6x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 15 + -3 6x = 15 + -3 Combine like terms: 15 + -3 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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