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Simplifying 12x + -18 = 8x + -17 + 3x Reorder the terms: -18 + 12x = 8x + -17 + 3x Reorder the terms: -18 + 12x = -17 + 8x + 3x Combine like terms: 8x + 3x = 11x -18 + 12x = -17 + 11x Solving -18 + 12x = -17 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -18 + 12x + -11x = -17 + 11x + -11x Combine like terms: 12x + -11x = 1x -18 + 1x = -17 + 11x + -11x Combine like terms: 11x + -11x = 0 -18 + 1x = -17 + 0 -18 + 1x = -17 Add '18' to each side of the equation. -18 + 18 + 1x = -17 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -17 + 18 1x = -17 + 18 Combine like terms: -17 + 18 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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