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Simplifying 2x + -7 = -5(5x + -4) Reorder the terms: -7 + 2x = -5(5x + -4) Reorder the terms: -7 + 2x = -5(-4 + 5x) -7 + 2x = (-4 * -5 + 5x * -5) -7 + 2x = (20 + -25x) Solving -7 + 2x = 20 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -7 + 2x + 25x = 20 + -25x + 25x Combine like terms: 2x + 25x = 27x -7 + 27x = 20 + -25x + 25x Combine like terms: -25x + 25x = 0 -7 + 27x = 20 + 0 -7 + 27x = 20 Add '7' to each side of the equation. -7 + 7 + 27x = 20 + 7 Combine like terms: -7 + 7 = 0 0 + 27x = 20 + 7 27x = 20 + 7 Combine like terms: 20 + 7 = 27 27x = 27 Divide each side by '27'. x = 1 Simplifying x = 1
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