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