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Simplifying 2(x + -3) = 8(3 + -1x) Reorder the terms: 2(-3 + x) = 8(3 + -1x) (-3 * 2 + x * 2) = 8(3 + -1x) (-6 + 2x) = 8(3 + -1x) -6 + 2x = (3 * 8 + -1x * 8) -6 + 2x = (24 + -8x) Solving -6 + 2x = 24 + -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. -6 + 2x + 8x = 24 + -8x + 8x Combine like terms: 2x + 8x = 10x -6 + 10x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 10x = 24 + 0 -6 + 10x = 24 Add '6' to each side of the equation. -6 + 6 + 10x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 24 + 6 10x = 24 + 6 Combine like terms: 24 + 6 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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