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Simplifying 4x + -2(x + 7) = 2x + -2(x + -1) Reorder the terms: 4x + -2(7 + x) = 2x + -2(x + -1) 4x + (7 * -2 + x * -2) = 2x + -2(x + -1) 4x + (-14 + -2x) = 2x + -2(x + -1) Reorder the terms: -14 + 4x + -2x = 2x + -2(x + -1) Combine like terms: 4x + -2x = 2x -14 + 2x = 2x + -2(x + -1) Reorder the terms: -14 + 2x = 2x + -2(-1 + x) -14 + 2x = 2x + (-1 * -2 + x * -2) -14 + 2x = 2x + (2 + -2x) Reorder the terms: -14 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 2x = 2 + 0 -14 + 2x = 2 Solving -14 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 2 + 14 2x = 2 + 14 Combine like terms: 2 + 14 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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