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Simplifying -2(3x + 5) = -4(x + 4) Reorder the terms: -2(5 + 3x) = -4(x + 4) (5 * -2 + 3x * -2) = -4(x + 4) (-10 + -6x) = -4(x + 4) Reorder the terms: -10 + -6x = -4(4 + x) -10 + -6x = (4 * -4 + x * -4) -10 + -6x = (-16 + -4x) Solving -10 + -6x = -16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + -6x + 4x = -16 + -4x + 4x Combine like terms: -6x + 4x = -2x -10 + -2x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + -2x = -16 + 0 -10 + -2x = -16 Add '10' to each side of the equation. -10 + 10 + -2x = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -16 + 10 -2x = -16 + 10 Combine like terms: -16 + 10 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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