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Simplifying -1(4x + 5) = -2(6x + 7) Reorder the terms: -1(5 + 4x) = -2(6x + 7) (5 * -1 + 4x * -1) = -2(6x + 7) (-5 + -4x) = -2(6x + 7) Reorder the terms: -5 + -4x = -2(7 + 6x) -5 + -4x = (7 * -2 + 6x * -2) -5 + -4x = (-14 + -12x) Solving -5 + -4x = -14 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + -4x + 12x = -14 + -12x + 12x Combine like terms: -4x + 12x = 8x -5 + 8x = -14 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 8x = -14 + 0 -5 + 8x = -14 Add '5' to each side of the equation. -5 + 5 + 8x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -14 + 5 8x = -14 + 5 Combine like terms: -14 + 5 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125
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