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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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