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Simplifying 1 + -4(y + -2x) = 49 + 4(x + -4y) Reorder the terms: 1 + -4(-2x + y) = 49 + 4(x + -4y) 1 + (-2x * -4 + y * -4) = 49 + 4(x + -4y) 1 + (8x + -4y) = 49 + 4(x + -4y) 1 + 8x + -4y = 49 + (x * 4 + -4y * 4) 1 + 8x + -4y = 49 + (4x + -16y) Solving 1 + 8x + -4y = 49 + 4x + -16y 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 = 49 + 4x + -4x + -16y Combine like terms: 8x + -4x = 4x 1 + 4x + -4y = 49 + 4x + -4x + -16y Combine like terms: 4x + -4x = 0 1 + 4x + -4y = 49 + 0 + -16y 1 + 4x + -4y = 49 + -16y Add '-1' to each side of the equation. 1 + 4x + -1 + -4y = 49 + -1 + -16y Reorder the terms: 1 + -1 + 4x + -4y = 49 + -1 + -16y Combine like terms: 1 + -1 = 0 0 + 4x + -4y = 49 + -1 + -16y 4x + -4y = 49 + -1 + -16y Combine like terms: 49 + -1 = 48 4x + -4y = 48 + -16y Add '4y' to each side of the equation. 4x + -4y + 4y = 48 + -16y + 4y Combine like terms: -4y + 4y = 0 4x + 0 = 48 + -16y + 4y 4x = 48 + -16y + 4y Combine like terms: -16y + 4y = -12y 4x = 48 + -12y Divide each side by '4'. x = 12 + -3y Simplifying x = 12 + -3y
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