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Simplifying -1(4x + 7) = 14 + -1x Reorder the terms: -1(7 + 4x) = 14 + -1x (7 * -1 + 4x * -1) = 14 + -1x (-7 + -4x) = 14 + -1x Solving -7 + -4x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + -4x + x = 14 + -1x + x Combine like terms: -4x + x = -3x -7 + -3x = 14 + -1x + x Combine like terms: -1x + x = 0 -7 + -3x = 14 + 0 -7 + -3x = 14 Add '7' to each side of the equation. -7 + 7 + -3x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 14 + 7 -3x = 14 + 7 Combine like terms: 14 + 7 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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