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Simplifying 5x + 2(x + -1) = 14 + 3(x + 2) Reorder the terms: 5x + 2(-1 + x) = 14 + 3(x + 2) 5x + (-1 * 2 + x * 2) = 14 + 3(x + 2) 5x + (-2 + 2x) = 14 + 3(x + 2) Reorder the terms: -2 + 5x + 2x = 14 + 3(x + 2) Combine like terms: 5x + 2x = 7x -2 + 7x = 14 + 3(x + 2) Reorder the terms: -2 + 7x = 14 + 3(2 + x) -2 + 7x = 14 + (2 * 3 + x * 3) -2 + 7x = 14 + (6 + 3x) Combine like terms: 14 + 6 = 20 -2 + 7x = 20 + 3x Solving -2 + 7x = 20 + 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 + 7x + -3x = 20 + 3x + -3x Combine like terms: 7x + -3x = 4x -2 + 4x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 4x = 20 + 0 -2 + 4x = 20 Add '2' to each side of the equation. -2 + 2 + 4x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 20 + 2 4x = 20 + 2 Combine like terms: 20 + 2 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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