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Simplifying 6x + -6 + 9x + -23 = 5x + 11 Reorder the terms: -6 + -23 + 6x + 9x = 5x + 11 Combine like terms: -6 + -23 = -29 -29 + 6x + 9x = 5x + 11 Combine like terms: 6x + 9x = 15x -29 + 15x = 5x + 11 Reorder the terms: -29 + 15x = 11 + 5x Solving -29 + 15x = 11 + 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. -29 + 15x + -5x = 11 + 5x + -5x Combine like terms: 15x + -5x = 10x -29 + 10x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -29 + 10x = 11 + 0 -29 + 10x = 11 Add '29' to each side of the equation. -29 + 29 + 10x = 11 + 29 Combine like terms: -29 + 29 = 0 0 + 10x = 11 + 29 10x = 11 + 29 Combine like terms: 11 + 29 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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