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Simplifying -2(5x + 3) = -5(4x + 13) Reorder the terms: -2(3 + 5x) = -5(4x + 13) (3 * -2 + 5x * -2) = -5(4x + 13) (-6 + -10x) = -5(4x + 13) Reorder the terms: -6 + -10x = -5(13 + 4x) -6 + -10x = (13 * -5 + 4x * -5) -6 + -10x = (-65 + -20x) Solving -6 + -10x = -65 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -6 + -10x + 20x = -65 + -20x + 20x Combine like terms: -10x + 20x = 10x -6 + 10x = -65 + -20x + 20x Combine like terms: -20x + 20x = 0 -6 + 10x = -65 + 0 -6 + 10x = -65 Add '6' to each side of the equation. -6 + 6 + 10x = -65 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -65 + 6 10x = -65 + 6 Combine like terms: -65 + 6 = -59 10x = -59 Divide each side by '10'. x = -5.9 Simplifying x = -5.9
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