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Simplifying -7(x + 2) + 2x + 6 = 5x + 12 Reorder the terms: -7(2 + x) + 2x + 6 = 5x + 12 (2 * -7 + x * -7) + 2x + 6 = 5x + 12 (-14 + -7x) + 2x + 6 = 5x + 12 Reorder the terms: -14 + 6 + -7x + 2x = 5x + 12 Combine like terms: -14 + 6 = -8 -8 + -7x + 2x = 5x + 12 Combine like terms: -7x + 2x = -5x -8 + -5x = 5x + 12 Reorder the terms: -8 + -5x = 12 + 5x Solving -8 + -5x = 12 + 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. -8 + -5x + -5x = 12 + 5x + -5x Combine like terms: -5x + -5x = -10x -8 + -10x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -10x = 12 + 0 -8 + -10x = 12 Add '8' to each side of the equation. -8 + 8 + -10x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 12 + 8 -10x = 12 + 8 Combine like terms: 12 + 8 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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