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