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Simplifying 6x + 7 + 2x + -3 = 7x + 9 + -2x + 7 Reorder the terms: 7 + -3 + 6x + 2x = 7x + 9 + -2x + 7 Combine like terms: 7 + -3 = 4 4 + 6x + 2x = 7x + 9 + -2x + 7 Combine like terms: 6x + 2x = 8x 4 + 8x = 7x + 9 + -2x + 7 Reorder the terms: 4 + 8x = 9 + 7 + 7x + -2x Combine like terms: 9 + 7 = 16 4 + 8x = 16 + 7x + -2x Combine like terms: 7x + -2x = 5x 4 + 8x = 16 + 5x Solving 4 + 8x = 16 + 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. 4 + 8x + -5x = 16 + 5x + -5x Combine like terms: 8x + -5x = 3x 4 + 3x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 3x = 16 + 0 4 + 3x = 16 Add '-4' to each side of the equation. 4 + -4 + 3x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 16 + -4 3x = 16 + -4 Combine like terms: 16 + -4 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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