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Simplifying 1 + -4(y + -2x) = 17 + 4(x + -3y) Reorder the terms: 1 + -4(-2x + y) = 17 + 4(x + -3y) 1 + (-2x * -4 + y * -4) = 17 + 4(x + -3y) 1 + (8x + -4y) = 17 + 4(x + -3y) 1 + 8x + -4y = 17 + (x * 4 + -3y * 4) 1 + 8x + -4y = 17 + (4x + -12y) Solving 1 + 8x + -4y = 17 + 4x + -12y 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. 1 + 8x + -4x + -4y = 17 + 4x + -4x + -12y Combine like terms: 8x + -4x = 4x 1 + 4x + -4y = 17 + 4x + -4x + -12y Combine like terms: 4x + -4x = 0 1 + 4x + -4y = 17 + 0 + -12y 1 + 4x + -4y = 17 + -12y Add '-1' to each side of the equation. 1 + 4x + -1 + -4y = 17 + -1 + -12y Reorder the terms: 1 + -1 + 4x + -4y = 17 + -1 + -12y Combine like terms: 1 + -1 = 0 0 + 4x + -4y = 17 + -1 + -12y 4x + -4y = 17 + -1 + -12y Combine like terms: 17 + -1 = 16 4x + -4y = 16 + -12y Add '4y' to each side of the equation. 4x + -4y + 4y = 16 + -12y + 4y Combine like terms: -4y + 4y = 0 4x + 0 = 16 + -12y + 4y 4x = 16 + -12y + 4y Combine like terms: -12y + 4y = -8y 4x = 16 + -8y Divide each side by '4'. x = 4 + -2y Simplifying x = 4 + -2y
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