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Simplifying -4(x + 5) = 7(-1x + -2) Reorder the terms: -4(5 + x) = 7(-1x + -2) (5 * -4 + x * -4) = 7(-1x + -2) (-20 + -4x) = 7(-1x + -2) Reorder the terms: -20 + -4x = 7(-2 + -1x) -20 + -4x = (-2 * 7 + -1x * 7) -20 + -4x = (-14 + -7x) Solving -20 + -4x = -14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -20 + -4x + 7x = -14 + -7x + 7x Combine like terms: -4x + 7x = 3x -20 + 3x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 3x = -14 + 0 -20 + 3x = -14 Add '20' to each side of the equation. -20 + 20 + 3x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = -14 + 20 3x = -14 + 20 Combine like terms: -14 + 20 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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