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Simplifying 2(x + 4) + -9 = 4x + -2(3 + y) Reorder the terms: 2(4 + x) + -9 = 4x + -2(3 + y) (4 * 2 + x * 2) + -9 = 4x + -2(3 + y) (8 + 2x) + -9 = 4x + -2(3 + y) Reorder the terms: 8 + -9 + 2x = 4x + -2(3 + y) Combine like terms: 8 + -9 = -1 -1 + 2x = 4x + -2(3 + y) -1 + 2x = 4x + (3 * -2 + y * -2) -1 + 2x = 4x + (-6 + -2y) Reorder the terms: -1 + 2x = -6 + 4x + -2y Solving -1 + 2x = -6 + 4x + -2y 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 + 2x + -4x = -6 + 4x + -4x + -2y Combine like terms: 2x + -4x = -2x -1 + -2x = -6 + 4x + -4x + -2y Combine like terms: 4x + -4x = 0 -1 + -2x = -6 + 0 + -2y -1 + -2x = -6 + -2y Add '1' to each side of the equation. -1 + 1 + -2x = -6 + 1 + -2y Combine like terms: -1 + 1 = 0 0 + -2x = -6 + 1 + -2y -2x = -6 + 1 + -2y Combine like terms: -6 + 1 = -5 -2x = -5 + -2y Divide each side by '-2'. x = 2.5 + y Simplifying x = 2.5 + y
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