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Simplifying 3(2x + -1) = 2(x + y) + 1 Reorder the terms: 3(-1 + 2x) = 2(x + y) + 1 (-1 * 3 + 2x * 3) = 2(x + y) + 1 (-3 + 6x) = 2(x + y) + 1 -3 + 6x = (x * 2 + y * 2) + 1 -3 + 6x = (2x + 2y) + 1 Reorder the terms: -3 + 6x = 1 + 2x + 2y Solving -3 + 6x = 1 + 2x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 6x + -2x = 1 + 2x + -2x + 2y Combine like terms: 6x + -2x = 4x -3 + 4x = 1 + 2x + -2x + 2y Combine like terms: 2x + -2x = 0 -3 + 4x = 1 + 0 + 2y -3 + 4x = 1 + 2y Add '3' to each side of the equation. -3 + 3 + 4x = 1 + 3 + 2y Combine like terms: -3 + 3 = 0 0 + 4x = 1 + 3 + 2y 4x = 1 + 3 + 2y Combine like terms: 1 + 3 = 4 4x = 4 + 2y Divide each side by '4'. x = 1 + 0.5y Simplifying x = 1 + 0.5y
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