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Simplifying 7x + 6x + 9 = 8x + 5 + 4x Reorder the terms: 9 + 7x + 6x = 8x + 5 + 4x Combine like terms: 7x + 6x = 13x 9 + 13x = 8x + 5 + 4x Reorder the terms: 9 + 13x = 5 + 8x + 4x Combine like terms: 8x + 4x = 12x 9 + 13x = 5 + 12x Solving 9 + 13x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 13x + -12x = 5 + 12x + -12x Combine like terms: 13x + -12x = 1x 9 + 1x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + 1x = 5 + 0 9 + 1x = 5 Add '-9' to each side of the equation. 9 + -9 + 1x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 5 + -9 1x = 5 + -9 Combine like terms: 5 + -9 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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