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Simplifying x + -1(y + 2) = 2(2x + 1) Reorder the terms: x + -1(2 + y) = 2(2x + 1) x + (2 * -1 + y * -1) = 2(2x + 1) x + (-2 + -1y) = 2(2x + 1) Reorder the terms: -2 + x + -1y = 2(2x + 1) Reorder the terms: -2 + x + -1y = 2(1 + 2x) -2 + x + -1y = (1 * 2 + 2x * 2) -2 + x + -1y = (2 + 4x) Solving -2 + x + -1y = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + x + -4x + -1y = 2 + 4x + -4x Combine like terms: x + -4x = -3x -2 + -3x + -1y = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -3x + -1y = 2 + 0 -2 + -3x + -1y = 2 Add '2' to each side of the equation. -2 + -3x + 2 + -1y = 2 + 2 Reorder the terms: -2 + 2 + -3x + -1y = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -3x + -1y = 2 + 2 -3x + -1y = 2 + 2 Combine like terms: 2 + 2 = 4 -3x + -1y = 4 Add 'y' to each side of the equation. -3x + -1y + y = 4 + y Combine like terms: -1y + y = 0 -3x + 0 = 4 + y -3x = 4 + y Divide each side by '-3'. x = -1.333333333 + -0.3333333333y Simplifying x = -1.333333333 + -0.3333333333y
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