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Simplifying 3(2x + -1) = 4(x + 5) + -11 Reorder the terms: 3(-1 + 2x) = 4(x + 5) + -11 (-1 * 3 + 2x * 3) = 4(x + 5) + -11 (-3 + 6x) = 4(x + 5) + -11 Reorder the terms: -3 + 6x = 4(5 + x) + -11 -3 + 6x = (5 * 4 + x * 4) + -11 -3 + 6x = (20 + 4x) + -11 Reorder the terms: -3 + 6x = 20 + -11 + 4x Combine like terms: 20 + -11 = 9 -3 + 6x = 9 + 4x Solving -3 + 6x = 9 + 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 = 9 + 4x + -4x Combine like terms: 6x + -4x = 2x -3 + 2x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 2x = 9 + 0 -3 + 2x = 9 Add '3' to each side of the equation. -3 + 3 + 2x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 9 + 3 2x = 9 + 3 Combine like terms: 9 + 3 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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