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Simplifying 4 + -1(2x + -7y) = 2(y + 1) 4 + (2x * -1 + -7y * -1) = 2(y + 1) 4 + (-2x + 7y) = 2(y + 1) Reorder the terms: 4 + -2x + 7y = 2(1 + y) 4 + -2x + 7y = (1 * 2 + y * 2) 4 + -2x + 7y = (2 + 2y) Solving 4 + -2x + 7y = 2 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2x + -4 + 7y = 2 + -4 + 2y Reorder the terms: 4 + -4 + -2x + 7y = 2 + -4 + 2y Combine like terms: 4 + -4 = 0 0 + -2x + 7y = 2 + -4 + 2y -2x + 7y = 2 + -4 + 2y Combine like terms: 2 + -4 = -2 -2x + 7y = -2 + 2y Add '-7y' to each side of the equation. -2x + 7y + -7y = -2 + 2y + -7y Combine like terms: 7y + -7y = 0 -2x + 0 = -2 + 2y + -7y -2x = -2 + 2y + -7y Combine like terms: 2y + -7y = -5y -2x = -2 + -5y Divide each side by '-2'. x = 1 + 2.5y Simplifying x = 1 + 2.5y
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