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Simplifying -5(x + 4) = 7(x + -2) Reorder the terms: -5(4 + x) = 7(x + -2) (4 * -5 + x * -5) = 7(x + -2) (-20 + -5x) = 7(x + -2) Reorder the terms: -20 + -5x = 7(-2 + x) -20 + -5x = (-2 * 7 + x * 7) -20 + -5x = (-14 + 7x) Solving -20 + -5x = -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 + -5x + -7x = -14 + 7x + -7x Combine like terms: -5x + -7x = -12x -20 + -12x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -12x = -14 + 0 -20 + -12x = -14 Add '20' to each side of the equation. -20 + 20 + -12x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + -12x = -14 + 20 -12x = -14 + 20 Combine like terms: -14 + 20 = 6 -12x = 6 Divide each side by '-12'. x = -0.5 Simplifying x = -0.5
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