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Simplifying 7x + 1 + -3x + -18 = 2x + 7 Reorder the terms: 1 + -18 + 7x + -3x = 2x + 7 Combine like terms: 1 + -18 = -17 -17 + 7x + -3x = 2x + 7 Combine like terms: 7x + -3x = 4x -17 + 4x = 2x + 7 Reorder the terms: -17 + 4x = 7 + 2x Solving -17 + 4x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 4x + -2x = 7 + 2x + -2x Combine like terms: 4x + -2x = 2x -17 + 2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 2x = 7 + 0 -17 + 2x = 7 Add '17' to each side of the equation. -17 + 17 + 2x = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 7 + 17 2x = 7 + 17 Combine like terms: 7 + 17 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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