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Simplifying 7(x + -2) = 2(2x + -4) Reorder the terms: 7(-2 + x) = 2(2x + -4) (-2 * 7 + x * 7) = 2(2x + -4) (-14 + 7x) = 2(2x + -4) Reorder the terms: -14 + 7x = 2(-4 + 2x) -14 + 7x = (-4 * 2 + 2x * 2) -14 + 7x = (-8 + 4x) Solving -14 + 7x = -8 + 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 + 7x + -4x = -8 + 4x + -4x Combine like terms: 7x + -4x = 3x -14 + 3x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 3x = -8 + 0 -14 + 3x = -8 Add '14' to each side of the equation. -14 + 14 + 3x = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = -8 + 14 3x = -8 + 14 Combine like terms: -8 + 14 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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