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Simplifying 5(-5x + -5) + 3(x + 7) = 7x + 1 + -2x + -5 Reorder the terms: 5(-5 + -5x) + 3(x + 7) = 7x + 1 + -2x + -5 (-5 * 5 + -5x * 5) + 3(x + 7) = 7x + 1 + -2x + -5 (-25 + -25x) + 3(x + 7) = 7x + 1 + -2x + -5 Reorder the terms: -25 + -25x + 3(7 + x) = 7x + 1 + -2x + -5 -25 + -25x + (7 * 3 + x * 3) = 7x + 1 + -2x + -5 -25 + -25x + (21 + 3x) = 7x + 1 + -2x + -5 Reorder the terms: -25 + 21 + -25x + 3x = 7x + 1 + -2x + -5 Combine like terms: -25 + 21 = -4 -4 + -25x + 3x = 7x + 1 + -2x + -5 Combine like terms: -25x + 3x = -22x -4 + -22x = 7x + 1 + -2x + -5 Reorder the terms: -4 + -22x = 1 + -5 + 7x + -2x Combine like terms: 1 + -5 = -4 -4 + -22x = -4 + 7x + -2x Combine like terms: 7x + -2x = 5x -4 + -22x = -4 + 5x Add '4' to each side of the equation. -4 + 4 + -22x = -4 + 4 + 5x Combine like terms: -4 + 4 = 0 0 + -22x = -4 + 4 + 5x -22x = -4 + 4 + 5x Combine like terms: -4 + 4 = 0 -22x = 0 + 5x -22x = 5x Solving -22x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -22x + -5x = 5x + -5x Combine like terms: -22x + -5x = -27x -27x = 5x + -5x Combine like terms: 5x + -5x = 0 -27x = 0 Divide each side by '-27'. x = 0 Simplifying x = 0
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