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Simplifying -7(x + 2) = 3(x + 2) Reorder the terms: -7(2 + x) = 3(x + 2) (2 * -7 + x * -7) = 3(x + 2) (-14 + -7x) = 3(x + 2) Reorder the terms: -14 + -7x = 3(2 + x) -14 + -7x = (2 * 3 + x * 3) -14 + -7x = (6 + 3x) Solving -14 + -7x = 6 + 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. -14 + -7x + -3x = 6 + 3x + -3x Combine like terms: -7x + -3x = -10x -14 + -10x = 6 + 3x + -3x Combine like terms: 3x + -3x = 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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