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Simplifying 3x + 5(2x + -5) = -4(2x + -5) Reorder the terms: 3x + 5(-5 + 2x) = -4(2x + -5) 3x + (-5 * 5 + 2x * 5) = -4(2x + -5) 3x + (-25 + 10x) = -4(2x + -5) Reorder the terms: -25 + 3x + 10x = -4(2x + -5) Combine like terms: 3x + 10x = 13x -25 + 13x = -4(2x + -5) Reorder the terms: -25 + 13x = -4(-5 + 2x) -25 + 13x = (-5 * -4 + 2x * -4) -25 + 13x = (20 + -8x) Solving -25 + 13x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -25 + 13x + 8x = 20 + -8x + 8x Combine like terms: 13x + 8x = 21x -25 + 21x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 -25 + 21x = 20 + 0 -25 + 21x = 20 Add '25' to each side of the equation. -25 + 25 + 21x = 20 + 25 Combine like terms: -25 + 25 = 0 0 + 21x = 20 + 25 21x = 20 + 25 Combine like terms: 20 + 25 = 45 21x = 45 Divide each side by '21'. x = 2.142857143 Simplifying x = 2.142857143
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