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Simplifying 4x + -2(5x + 1) = 8(2 + -1x) Reorder the terms: 4x + -2(1 + 5x) = 8(2 + -1x) 4x + (1 * -2 + 5x * -2) = 8(2 + -1x) 4x + (-2 + -10x) = 8(2 + -1x) Reorder the terms: -2 + 4x + -10x = 8(2 + -1x) Combine like terms: 4x + -10x = -6x -2 + -6x = 8(2 + -1x) -2 + -6x = (2 * 8 + -1x * 8) -2 + -6x = (16 + -8x) Solving -2 + -6x = 16 + -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. -2 + -6x + 8x = 16 + -8x + 8x Combine like terms: -6x + 8x = 2x -2 + 2x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 -2 + 2x = 16 + 0 -2 + 2x = 16 Add '2' to each side of the equation. -2 + 2 + 2x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 16 + 2 2x = 16 + 2 Combine like terms: 16 + 2 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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