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Simplifying 3(2x + -1) = 4(x + 5) Reorder the terms: 3(-1 + 2x) = 4(x + 5) (-1 * 3 + 2x * 3) = 4(x + 5) (-3 + 6x) = 4(x + 5) Reorder the terms: -3 + 6x = 4(5 + x) -3 + 6x = (5 * 4 + x * 4) -3 + 6x = (20 + 4x) Solving -3 + 6x = 20 + 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 = 20 + 4x + -4x Combine like terms: 6x + -4x = 2x -3 + 2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 2x = 20 + 0 -3 + 2x = 20 Add '3' to each side of the equation. -3 + 3 + 2x = 20 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 20 + 3 2x = 20 + 3 Combine like terms: 20 + 3 = 23 2x = 23 Divide each side by '2'. x = 11.5 Simplifying x = 11.5
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