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Simplifying 2(2x + -7) = -1(4x + -2) Reorder the terms: 2(-7 + 2x) = -1(4x + -2) (-7 * 2 + 2x * 2) = -1(4x + -2) (-14 + 4x) = -1(4x + -2) Reorder the terms: -14 + 4x = -1(-2 + 4x) -14 + 4x = (-2 * -1 + 4x * -1) -14 + 4x = (2 + -4x) Solving -14 + 4x = 2 + -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 + 4x + 4x = 2 + -4x + 4x Combine like terms: 4x + 4x = 8x -14 + 8x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 8x = 2 + 0 -14 + 8x = 2 Add '14' to each side of the equation. -14 + 14 + 8x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 2 + 14 8x = 2 + 14 Combine like terms: 2 + 14 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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