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Simplifying 5x + 5(3x + -5) = -2 + -3x Reorder the terms: 5x + 5(-5 + 3x) = -2 + -3x 5x + (-5 * 5 + 3x * 5) = -2 + -3x 5x + (-25 + 15x) = -2 + -3x Reorder the terms: -25 + 5x + 15x = -2 + -3x Combine like terms: 5x + 15x = 20x -25 + 20x = -2 + -3x Solving -25 + 20x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -25 + 20x + 3x = -2 + -3x + 3x Combine like terms: 20x + 3x = 23x -25 + 23x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -25 + 23x = -2 + 0 -25 + 23x = -2 Add '25' to each side of the equation. -25 + 25 + 23x = -2 + 25 Combine like terms: -25 + 25 = 0 0 + 23x = -2 + 25 23x = -2 + 25 Combine like terms: -2 + 25 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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