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Simplifying 2[2x + 2(y + -2)] + -1 = 2x + -3y + -3(y + -8) Reorder the terms: 2[2x + 2(-2 + y)] + -1 = 2x + -3y + -3(y + -8) 2[2x + (-2 * 2 + y * 2)] + -1 = 2x + -3y + -3(y + -8) 2[2x + (-4 + 2y)] + -1 = 2x + -3y + -3(y + -8) Reorder the terms: 2[-4 + 2x + 2y] + -1 = 2x + -3y + -3(y + -8) [-4 * 2 + 2x * 2 + 2y * 2] + -1 = 2x + -3y + -3(y + -8) [-8 + 4x + 4y] + -1 = 2x + -3y + -3(y + -8) Reorder the terms: -8 + -1 + 4x + 4y = 2x + -3y + -3(y + -8) Combine like terms: -8 + -1 = -9 -9 + 4x + 4y = 2x + -3y + -3(y + -8) Reorder the terms: -9 + 4x + 4y = 2x + -3y + -3(-8 + y) -9 + 4x + 4y = 2x + -3y + (-8 * -3 + y * -3) -9 + 4x + 4y = 2x + -3y + (24 + -3y) Reorder the terms: -9 + 4x + 4y = 24 + 2x + -3y + -3y Combine like terms: -3y + -3y = -6y -9 + 4x + 4y = 24 + 2x + -6y Solving -9 + 4x + 4y = 24 + 2x + -6y 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. -9 + 4x + -2x + 4y = 24 + 2x + -2x + -6y Combine like terms: 4x + -2x = 2x -9 + 2x + 4y = 24 + 2x + -2x + -6y Combine like terms: 2x + -2x = 0 -9 + 2x + 4y = 24 + 0 + -6y -9 + 2x + 4y = 24 + -6y Add '9' to each side of the equation. -9 + 2x + 9 + 4y = 24 + 9 + -6y Reorder the terms: -9 + 9 + 2x + 4y = 24 + 9 + -6y Combine like terms: -9 + 9 = 0 0 + 2x + 4y = 24 + 9 + -6y 2x + 4y = 24 + 9 + -6y Combine like terms: 24 + 9 = 33 2x + 4y = 33 + -6y Add '-4y' to each side of the equation. 2x + 4y + -4y = 33 + -6y + -4y Combine like terms: 4y + -4y = 0 2x + 0 = 33 + -6y + -4y 2x = 33 + -6y + -4y Combine like terms: -6y + -4y = -10y 2x = 33 + -10y Divide each side by '2'. x = 16.5 + -5y Simplifying x = 16.5 + -5y
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