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Simplifying 7x + 1 + 10x + -9 = 19x + -18 Reorder the terms: 1 + -9 + 7x + 10x = 19x + -18 Combine like terms: 1 + -9 = -8 -8 + 7x + 10x = 19x + -18 Combine like terms: 7x + 10x = 17x -8 + 17x = 19x + -18 Reorder the terms: -8 + 17x = -18 + 19x Solving -8 + 17x = -18 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -8 + 17x + -19x = -18 + 19x + -19x Combine like terms: 17x + -19x = -2x -8 + -2x = -18 + 19x + -19x Combine like terms: 19x + -19x = 0 -8 + -2x = -18 + 0 -8 + -2x = -18 Add '8' to each side of the equation. -8 + 8 + -2x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -18 + 8 -2x = -18 + 8 Combine like terms: -18 + 8 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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