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Simplifying 9x + 27 = 10x + 15 + 5x Reorder the terms: 27 + 9x = 10x + 15 + 5x Reorder the terms: 27 + 9x = 15 + 10x + 5x Combine like terms: 10x + 5x = 15x 27 + 9x = 15 + 15x Solving 27 + 9x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 27 + 9x + -15x = 15 + 15x + -15x Combine like terms: 9x + -15x = -6x 27 + -6x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 27 + -6x = 15 + 0 27 + -6x = 15 Add '-27' to each side of the equation. 27 + -27 + -6x = 15 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = 15 + -27 -6x = 15 + -27 Combine like terms: 15 + -27 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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