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Simplifying 2[2x + 2(y + -2)] = 1 Reorder the terms: 2[2x + 2(-2 + y)] = 1 2[2x + (-2 * 2 + y * 2)] = 1 2[2x + (-4 + 2y)] = 1 Reorder the terms: 2[-4 + 2x + 2y] = 1 [-4 * 2 + 2x * 2 + 2y * 2] = 1 [-8 + 4x + 4y] = 1 Solving -8 + 4x + 4y = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4x + 8 + 4y = 1 + 8 Reorder the terms: -8 + 8 + 4x + 4y = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 4x + 4y = 1 + 8 4x + 4y = 1 + 8 Combine like terms: 1 + 8 = 9 4x + 4y = 9 Add '-4y' to each side of the equation. 4x + 4y + -4y = 9 + -4y Combine like terms: 4y + -4y = 0 4x + 0 = 9 + -4y 4x = 9 + -4y Divide each side by '4'. x = 2.25 + -1y Simplifying x = 2.25 + -1y
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