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Simplifying 3(4x + -5) = -5(2x + -5) Reorder the terms: 3(-5 + 4x) = -5(2x + -5) (-5 * 3 + 4x * 3) = -5(2x + -5) (-15 + 12x) = -5(2x + -5) Reorder the terms: -15 + 12x = -5(-5 + 2x) -15 + 12x = (-5 * -5 + 2x * -5) -15 + 12x = (25 + -10x) Solving -15 + 12x = 25 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -15 + 12x + 10x = 25 + -10x + 10x Combine like terms: 12x + 10x = 22x -15 + 22x = 25 + -10x + 10x Combine like terms: -10x + 10x = 0 -15 + 22x = 25 + 0 -15 + 22x = 25 Add '15' to each side of the equation. -15 + 15 + 22x = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 22x = 25 + 15 22x = 25 + 15 Combine like terms: 25 + 15 = 40 22x = 40 Divide each side by '22'. x = 1.818181818 Simplifying x = 1.818181818
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