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Simplifying -5(x + 4) = -3(x + 6) Reorder the terms: -5(4 + x) = -3(x + 6) (4 * -5 + x * -5) = -3(x + 6) (-20 + -5x) = -3(x + 6) Reorder the terms: -20 + -5x = -3(6 + x) -20 + -5x = (6 * -3 + x * -3) -20 + -5x = (-18 + -3x) Solving -20 + -5x = -18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + -5x + 3x = -18 + -3x + 3x Combine like terms: -5x + 3x = -2x -20 + -2x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + -2x = -18 + 0 -20 + -2x = -18 Add '20' to each side of the equation. -20 + 20 + -2x = -18 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -18 + 20 -2x = -18 + 20 Combine like terms: -18 + 20 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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