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Simplifying 2x + -3(2 + -2x) = 8(1 + -1x) + 2 2x + (2 * -3 + -2x * -3) = 8(1 + -1x) + 2 2x + (-6 + 6x) = 8(1 + -1x) + 2 Reorder the terms: -6 + 2x + 6x = 8(1 + -1x) + 2 Combine like terms: 2x + 6x = 8x -6 + 8x = 8(1 + -1x) + 2 -6 + 8x = (1 * 8 + -1x * 8) + 2 -6 + 8x = (8 + -8x) + 2 Reorder the terms: -6 + 8x = 8 + 2 + -8x Combine like terms: 8 + 2 = 10 -6 + 8x = 10 + -8x Solving -6 + 8x = 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. -6 + 8x + 8x = 10 + -8x + 8x Combine like terms: 8x + 8x = 16x -6 + 16x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 16x = 10 + 0 -6 + 16x = 10 Add '6' to each side of the equation. -6 + 6 + 16x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 10 + 6 16x = 10 + 6 Combine like terms: 10 + 6 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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