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Simplifying 19x + -18 = 7x + 1 + 10x + -9 Reorder the terms: -18 + 19x = 7x + 1 + 10x + -9 Reorder the terms: -18 + 19x = 1 + -9 + 7x + 10x Combine like terms: 1 + -9 = -8 -18 + 19x = -8 + 7x + 10x Combine like terms: 7x + 10x = 17x -18 + 19x = -8 + 17x Solving -18 + 19x = -8 + 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. -18 + 19x + -17x = -8 + 17x + -17x Combine like terms: 19x + -17x = 2x -18 + 2x = -8 + 17x + -17x Combine like terms: 17x + -17x = 0 -18 + 2x = -8 + 0 -18 + 2x = -8 Add '18' to each side of the equation. -18 + 18 + 2x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -8 + 18 2x = -8 + 18 Combine like terms: -8 + 18 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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