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Simplifying 7(x + -2) = 2(x + 3) Reorder the terms: 7(-2 + x) = 2(x + 3) (-2 * 7 + x * 7) = 2(x + 3) (-14 + 7x) = 2(x + 3) Reorder the terms: -14 + 7x = 2(3 + x) -14 + 7x = (3 * 2 + x * 2) -14 + 7x = (6 + 2x) Solving -14 + 7x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 7x + -2x = 6 + 2x + -2x Combine like terms: 7x + -2x = 5x -14 + 5x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 5x = 6 + 0 -14 + 5x = 6 Add '14' to each side of the equation. -14 + 14 + 5x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 6 + 14 5x = 6 + 14 Combine like terms: 6 + 14 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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