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Simplifying -5(x + 4) = -3(x + -2) Reorder the terms: -5(4 + x) = -3(x + -2) (4 * -5 + x * -5) = -3(x + -2) (-20 + -5x) = -3(x + -2) Reorder the terms: -20 + -5x = -3(-2 + x) -20 + -5x = (-2 * -3 + x * -3) -20 + -5x = (6 + -3x) Solving -20 + -5x = 6 + -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 = 6 + -3x + 3x Combine like terms: -5x + 3x = -2x -20 + -2x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + -2x = 6 + 0 -20 + -2x = 6 Add '20' to each side of the equation. -20 + 20 + -2x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 6 + 20 -2x = 6 + 20 Combine like terms: 6 + 20 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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