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Simplifying -4(x + 5) = -2(3x + -6) Reorder the terms: -4(5 + x) = -2(3x + -6) (5 * -4 + x * -4) = -2(3x + -6) (-20 + -4x) = -2(3x + -6) Reorder the terms: -20 + -4x = -2(-6 + 3x) -20 + -4x = (-6 * -2 + 3x * -2) -20 + -4x = (12 + -6x) Solving -20 + -4x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -20 + -4x + 6x = 12 + -6x + 6x Combine like terms: -4x + 6x = 2x -20 + 2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -20 + 2x = 12 + 0 -20 + 2x = 12 Add '20' to each side of the equation. -20 + 20 + 2x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 12 + 20 2x = 12 + 20 Combine like terms: 12 + 20 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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