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Simplifying 3(4x + -5) = 11(x + -1) Reorder the terms: 3(-5 + 4x) = 11(x + -1) (-5 * 3 + 4x * 3) = 11(x + -1) (-15 + 12x) = 11(x + -1) Reorder the terms: -15 + 12x = 11(-1 + x) -15 + 12x = (-1 * 11 + x * 11) -15 + 12x = (-11 + 11x) Solving -15 + 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. -15 + 12x + -11x = -11 + 11x + -11x Combine like terms: 12x + -11x = 1x -15 + 1x = -11 + 11x + -11x Combine like terms: 11x + -11x = 0 -15 + 1x = -11 + 0 -15 + 1x = -11 Add '15' to each side of the equation. -15 + 15 + 1x = -11 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -11 + 15 1x = -11 + 15 Combine like terms: -11 + 15 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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