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Simplifying 2(-10x + -80) = 300 + 8x + 100 Reorder the terms: 2(-80 + -10x) = 300 + 8x + 100 (-80 * 2 + -10x * 2) = 300 + 8x + 100 (-160 + -20x) = 300 + 8x + 100 Reorder the terms: -160 + -20x = 300 + 100 + 8x Combine like terms: 300 + 100 = 400 -160 + -20x = 400 + 8x Solving -160 + -20x = 400 + 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. -160 + -20x + -8x = 400 + 8x + -8x Combine like terms: -20x + -8x = -28x -160 + -28x = 400 + 8x + -8x Combine like terms: 8x + -8x = 0 -160 + -28x = 400 + 0 -160 + -28x = 400 Add '160' to each side of the equation. -160 + 160 + -28x = 400 + 160 Combine like terms: -160 + 160 = 0 0 + -28x = 400 + 160 -28x = 400 + 160 Combine like terms: 400 + 160 = 560 -28x = 560 Divide each side by '-28'. x = -20 Simplifying x = -20
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