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Simplifying (x + 2) + -1(3x + 2) = 5(x + 4) + 1 Reorder the terms: (2 + x) + -1(3x + 2) = 5(x + 4) + 1 Remove parenthesis around (2 + x) 2 + x + -1(3x + 2) = 5(x + 4) + 1 Reorder the terms: 2 + x + -1(2 + 3x) = 5(x + 4) + 1 2 + x + (2 * -1 + 3x * -1) = 5(x + 4) + 1 2 + x + (-2 + -3x) = 5(x + 4) + 1 Reorder the terms: 2 + -2 + x + -3x = 5(x + 4) + 1 Combine like terms: 2 + -2 = 0 0 + x + -3x = 5(x + 4) + 1 x + -3x = 5(x + 4) + 1 Combine like terms: x + -3x = -2x -2x = 5(x + 4) + 1 Reorder the terms: -2x = 5(4 + x) + 1 -2x = (4 * 5 + x * 5) + 1 -2x = (20 + 5x) + 1 Reorder the terms: -2x = 20 + 1 + 5x Combine like terms: 20 + 1 = 21 -2x = 21 + 5x Solving -2x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2x + -5x = 21 + 5x + -5x Combine like terms: -2x + -5x = -7x -7x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -7x = 21 + 0 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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