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Simplifying 7x + -2(x + 1) = 3x + 18 Reorder the terms: 7x + -2(1 + x) = 3x + 18 7x + (1 * -2 + x * -2) = 3x + 18 7x + (-2 + -2x) = 3x + 18 Reorder the terms: -2 + 7x + -2x = 3x + 18 Combine like terms: 7x + -2x = 5x -2 + 5x = 3x + 18 Reorder the terms: -2 + 5x = 18 + 3x Solving -2 + 5x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 5x + -3x = 18 + 3x + -3x Combine like terms: 5x + -3x = 2x -2 + 2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 2x = 18 + 0 -2 + 2x = 18 Add '2' to each side of the equation. -2 + 2 + 2x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 18 + 2 2x = 18 + 2 Combine like terms: 18 + 2 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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