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Simplifying 3(4x + -1) = 11(x + 1) Reorder the terms: 3(-1 + 4x) = 11(x + 1) (-1 * 3 + 4x * 3) = 11(x + 1) (-3 + 12x) = 11(x + 1) Reorder the terms: -3 + 12x = 11(1 + x) -3 + 12x = (1 * 11 + x * 11) -3 + 12x = (11 + 11x) Solving -3 + 12x = 11 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -3 + 12x + -11x = 11 + 11x + -11x Combine like terms: 12x + -11x = 1x -3 + 1x = 11 + 11x + -11x Combine like terms: 11x + -11x = 0 -3 + 1x = 11 + 0 -3 + 1x = 11 Add '3' to each side of the equation. -3 + 3 + 1x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 11 + 3 1x = 11 + 3 Combine like terms: 11 + 3 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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