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Simplifying 11x + -2x + 15 = 8x + 7 + 9x Reorder the terms: 15 + 11x + -2x = 8x + 7 + 9x Combine like terms: 11x + -2x = 9x 15 + 9x = 8x + 7 + 9x Reorder the terms: 15 + 9x = 7 + 8x + 9x Combine like terms: 8x + 9x = 17x 15 + 9x = 7 + 17x Solving 15 + 9x = 7 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 15 + 9x + -17x = 7 + 17x + -17x Combine like terms: 9x + -17x = -8x 15 + -8x = 7 + 17x + -17x Combine like terms: 17x + -17x = 0 15 + -8x = 7 + 0 15 + -8x = 7 Add '-15' to each side of the equation. 15 + -15 + -8x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 7 + -15 -8x = 7 + -15 Combine like terms: 7 + -15 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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