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Simplifying 6(4x + -1) = 11(x + 3) Reorder the terms: 6(-1 + 4x) = 11(x + 3) (-1 * 6 + 4x * 6) = 11(x + 3) (-6 + 24x) = 11(x + 3) Reorder the terms: -6 + 24x = 11(3 + x) -6 + 24x = (3 * 11 + x * 11) -6 + 24x = (33 + 11x) Solving -6 + 24x = 33 + 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. -6 + 24x + -11x = 33 + 11x + -11x Combine like terms: 24x + -11x = 13x -6 + 13x = 33 + 11x + -11x Combine like terms: 11x + -11x = 0 -6 + 13x = 33 + 0 -6 + 13x = 33 Add '6' to each side of the equation. -6 + 6 + 13x = 33 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 33 + 6 13x = 33 + 6 Combine like terms: 33 + 6 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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