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Simplifying 2(2 + -2x + -4x) + 8(2x + -2) = 1 Combine like terms: -2x + -4x = -6x 2(2 + -6x) + 8(2x + -2) = 1 (2 * 2 + -6x * 2) + 8(2x + -2) = 1 (4 + -12x) + 8(2x + -2) = 1 Reorder the terms: 4 + -12x + 8(-2 + 2x) = 1 4 + -12x + (-2 * 8 + 2x * 8) = 1 4 + -12x + (-16 + 16x) = 1 Reorder the terms: 4 + -16 + -12x + 16x = 1 Combine like terms: 4 + -16 = -12 -12 + -12x + 16x = 1 Combine like terms: -12x + 16x = 4x -12 + 4x = 1 Solving -12 + 4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 1 + 12 4x = 1 + 12 Combine like terms: 1 + 12 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25
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