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Simplifying 7(x + -2) = 5x + -4 Reorder the terms: 7(-2 + x) = 5x + -4 (-2 * 7 + x * 7) = 5x + -4 (-14 + 7x) = 5x + -4 Reorder the terms: -14 + 7x = -4 + 5x Solving -14 + 7x = -4 + 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 + 7x + -5x = -4 + 5x + -5x Combine like terms: 7x + -5x = 2x -14 + 2x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 2x = -4 + 0 -14 + 2x = -4 Add '14' to each side of the equation. -14 + 14 + 2x = -4 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -4 + 14 2x = -4 + 14 Combine like terms: -4 + 14 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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