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Simplifying 10x + -1(4 + 2x) = 2(8 + -1x) 10x + (4 * -1 + 2x * -1) = 2(8 + -1x) 10x + (-4 + -2x) = 2(8 + -1x) Reorder the terms: -4 + 10x + -2x = 2(8 + -1x) Combine like terms: 10x + -2x = 8x -4 + 8x = 2(8 + -1x) -4 + 8x = (8 * 2 + -1x * 2) -4 + 8x = (16 + -2x) Solving -4 + 8x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 8x + 2x = 16 + -2x + 2x Combine like terms: 8x + 2x = 10x -4 + 10x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 10x = 16 + 0 -4 + 10x = 16 Add '4' to each side of the equation. -4 + 4 + 10x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 16 + 4 10x = 16 + 4 Combine like terms: 16 + 4 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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