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Simplifying 2(5x + -30) = 84 + -8x Reorder the terms: 2(-30 + 5x) = 84 + -8x (-30 * 2 + 5x * 2) = 84 + -8x (-60 + 10x) = 84 + -8x Solving -60 + 10x = 84 + -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. -60 + 10x + 8x = 84 + -8x + 8x Combine like terms: 10x + 8x = 18x -60 + 18x = 84 + -8x + 8x Combine like terms: -8x + 8x = 0 -60 + 18x = 84 + 0 -60 + 18x = 84 Add '60' to each side of the equation. -60 + 60 + 18x = 84 + 60 Combine like terms: -60 + 60 = 0 0 + 18x = 84 + 60 18x = 84 + 60 Combine like terms: 84 + 60 = 144 18x = 144 Divide each side by '18'. x = 8 Simplifying x = 8
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