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Simplifying 8x + 5x + 2 + 9 = 10x + 4 + 2x Reorder the terms: 2 + 9 + 8x + 5x = 10x + 4 + 2x Combine like terms: 2 + 9 = 11 11 + 8x + 5x = 10x + 4 + 2x Combine like terms: 8x + 5x = 13x 11 + 13x = 10x + 4 + 2x Reorder the terms: 11 + 13x = 4 + 10x + 2x Combine like terms: 10x + 2x = 12x 11 + 13x = 4 + 12x Solving 11 + 13x = 4 + 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. 11 + 13x + -12x = 4 + 12x + -12x Combine like terms: 13x + -12x = 1x 11 + 1x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + 1x = 4 + 0 11 + 1x = 4 Add '-11' to each side of the equation. 11 + -11 + 1x = 4 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 4 + -11 1x = 4 + -11 Combine like terms: 4 + -11 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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