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Simplifying 2x + -7(x + 2) = 5x + 6 Reorder the terms: 2x + -7(2 + x) = 5x + 6 2x + (2 * -7 + x * -7) = 5x + 6 2x + (-14 + -7x) = 5x + 6 Reorder the terms: -14 + 2x + -7x = 5x + 6 Combine like terms: 2x + -7x = -5x -14 + -5x = 5x + 6 Reorder the terms: -14 + -5x = 6 + 5x Solving -14 + -5x = 6 + 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. -14 + -5x + -5x = 6 + 5x + -5x Combine like terms: -5x + -5x = -10x -14 + -10x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -10x = 6 + 0 -14 + -10x = 6 Add '14' to each side of the equation. -14 + 14 + -10x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = 6 + 14 -10x = 6 + 14 Combine like terms: 6 + 14 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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