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Simplifying 8x + 19 + x + 17 = 17x + 12 Reorder the terms: 19 + 17 + 8x + x = 17x + 12 Combine like terms: 19 + 17 = 36 36 + 8x + x = 17x + 12 Combine like terms: 8x + x = 9x 36 + 9x = 17x + 12 Reorder the terms: 36 + 9x = 12 + 17x Solving 36 + 9x = 12 + 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. 36 + 9x + -17x = 12 + 17x + -17x Combine like terms: 9x + -17x = -8x 36 + -8x = 12 + 17x + -17x Combine like terms: 17x + -17x = 0 36 + -8x = 12 + 0 36 + -8x = 12 Add '-36' to each side of the equation. 36 + -36 + -8x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -8x = 12 + -36 -8x = 12 + -36 Combine like terms: 12 + -36 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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