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Simplifying 5(2x + -6) = 10 + -8x Reorder the terms: 5(-6 + 2x) = 10 + -8x (-6 * 5 + 2x * 5) = 10 + -8x (-30 + 10x) = 10 + -8x Solving -30 + 10x = 10 + -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. -30 + 10x + 8x = 10 + -8x + 8x Combine like terms: 10x + 8x = 18x -30 + 18x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -30 + 18x = 10 + 0 -30 + 18x = 10 Add '30' to each side of the equation. -30 + 30 + 18x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 18x = 10 + 30 18x = 10 + 30 Combine like terms: 10 + 30 = 40 18x = 40 Divide each side by '18'. x = 2.222222222 Simplifying x = 2.222222222
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