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Simplifying 3x + -1(x + 4) = 4(y + 7) Reorder the terms: 3x + -1(4 + x) = 4(y + 7) 3x + (4 * -1 + x * -1) = 4(y + 7) 3x + (-4 + -1x) = 4(y + 7) Reorder the terms: -4 + 3x + -1x = 4(y + 7) Combine like terms: 3x + -1x = 2x -4 + 2x = 4(y + 7) Reorder the terms: -4 + 2x = 4(7 + y) -4 + 2x = (7 * 4 + y * 4) -4 + 2x = (28 + 4y) Solving -4 + 2x = 28 + 4y 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 + 4 + 2x = 28 + 4 + 4y Combine like terms: -4 + 4 = 0 0 + 2x = 28 + 4 + 4y 2x = 28 + 4 + 4y Combine like terms: 28 + 4 = 32 2x = 32 + 4y Divide each side by '2'. x = 16 + 2y Simplifying x = 16 + 2y
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