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Simplifying -4x + -14 = -2(4x + -7) Reorder the terms: -14 + -4x = -2(4x + -7) Reorder the terms: -14 + -4x = -2(-7 + 4x) -14 + -4x = (-7 * -2 + 4x * -2) -14 + -4x = (14 + -8x) Solving -14 + -4x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -14 + -4x + 8x = 14 + -8x + 8x Combine like terms: -4x + 8x = 4x -14 + 4x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 -14 + 4x = 14 + 0 -14 + 4x = 14 Add '14' to each side of the equation. -14 + 14 + 4x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 14 + 14 4x = 14 + 14 Combine like terms: 14 + 14 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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