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Simplifying 7(2x + -2) = 4(x + 4) Reorder the terms: 7(-2 + 2x) = 4(x + 4) (-2 * 7 + 2x * 7) = 4(x + 4) (-14 + 14x) = 4(x + 4) Reorder the terms: -14 + 14x = 4(4 + x) -14 + 14x = (4 * 4 + x * 4) -14 + 14x = (16 + 4x) Solving -14 + 14x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 14x + -4x = 16 + 4x + -4x Combine like terms: 14x + -4x = 10x -14 + 10x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 10x = 16 + 0 -14 + 10x = 16 Add '14' to each side of the equation. -14 + 14 + 10x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 10x = 16 + 14 10x = 16 + 14 Combine like terms: 16 + 14 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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