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Simplifying 2(2x + 3) = 2(3 + -1y) + 6x Reorder the terms: 2(3 + 2x) = 2(3 + -1y) + 6x (3 * 2 + 2x * 2) = 2(3 + -1y) + 6x (6 + 4x) = 2(3 + -1y) + 6x 6 + 4x = (3 * 2 + -1y * 2) + 6x 6 + 4x = (6 + -2y) + 6x Reorder the terms: 6 + 4x = 6 + 6x + -2y Add '-6' to each side of the equation. 6 + -6 + 4x = 6 + 6x + -6 + -2y Combine like terms: 6 + -6 = 0 0 + 4x = 6 + 6x + -6 + -2y 4x = 6 + 6x + -6 + -2y Reorder the terms: 4x = 6 + -6 + 6x + -2y Combine like terms: 6 + -6 = 0 4x = 0 + 6x + -2y 4x = 6x + -2y Solving 4x = 6x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4x + -6x = 6x + -6x + -2y Combine like terms: 4x + -6x = -2x -2x = 6x + -6x + -2y Combine like terms: 6x + -6x = 0 -2x = 0 + -2y -2x = -2y Divide each side by '-2'. x = y Simplifying x = y
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