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Simplifying 5x + -8 + 6x = 5(2x + 9) + -43 Reorder the terms: -8 + 5x + 6x = 5(2x + 9) + -43 Combine like terms: 5x + 6x = 11x -8 + 11x = 5(2x + 9) + -43 Reorder the terms: -8 + 11x = 5(9 + 2x) + -43 -8 + 11x = (9 * 5 + 2x * 5) + -43 -8 + 11x = (45 + 10x) + -43 Reorder the terms: -8 + 11x = 45 + -43 + 10x Combine like terms: 45 + -43 = 2 -8 + 11x = 2 + 10x Solving -8 + 11x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 11x + -10x = 2 + 10x + -10x Combine like terms: 11x + -10x = 1x -8 + 1x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 1x = 2 + 0 -8 + 1x = 2 Add '8' to each side of the equation. -8 + 8 + 1x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 2 + 8 1x = 2 + 8 Combine like terms: 2 + 8 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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