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Simplifying -8x + -30 = -5x + -4(7x + -5) Reorder the terms: -30 + -8x = -5x + -4(7x + -5) Reorder the terms: -30 + -8x = -5x + -4(-5 + 7x) -30 + -8x = -5x + (-5 * -4 + 7x * -4) -30 + -8x = -5x + (20 + -28x) Reorder the terms: -30 + -8x = 20 + -5x + -28x Combine like terms: -5x + -28x = -33x -30 + -8x = 20 + -33x Solving -30 + -8x = 20 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -30 + -8x + 33x = 20 + -33x + 33x Combine like terms: -8x + 33x = 25x -30 + 25x = 20 + -33x + 33x Combine like terms: -33x + 33x = 0 -30 + 25x = 20 + 0 -30 + 25x = 20 Add '30' to each side of the equation. -30 + 30 + 25x = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 25x = 20 + 30 25x = 20 + 30 Combine like terms: 20 + 30 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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