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Simplifying 1 + -4(y + -2x) = 37 + 4(x + -4) Reorder the terms: 1 + -4(-2x + y) = 37 + 4(x + -4) 1 + (-2x * -4 + y * -4) = 37 + 4(x + -4) 1 + (8x + -4y) = 37 + 4(x + -4) Reorder the terms: 1 + 8x + -4y = 37 + 4(-4 + x) 1 + 8x + -4y = 37 + (-4 * 4 + x * 4) 1 + 8x + -4y = 37 + (-16 + 4x) Combine like terms: 37 + -16 = 21 1 + 8x + -4y = 21 + 4x Solving 1 + 8x + -4y = 21 + 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. 1 + 8x + -4x + -4y = 21 + 4x + -4x Combine like terms: 8x + -4x = 4x 1 + 4x + -4y = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 4x + -4y = 21 + 0 1 + 4x + -4y = 21 Add '-1' to each side of the equation. 1 + 4x + -1 + -4y = 21 + -1 Reorder the terms: 1 + -1 + 4x + -4y = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 4x + -4y = 21 + -1 4x + -4y = 21 + -1 Combine like terms: 21 + -1 = 20 4x + -4y = 20 Add '4y' to each side of the equation. 4x + -4y + 4y = 20 + 4y Combine like terms: -4y + 4y = 0 4x + 0 = 20 + 4y 4x = 20 + 4y Divide each side by '4'. x = 5 + y Simplifying x = 5 + y
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