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Simplifying 3(5x + -2) = 4(x + 6) Reorder the terms: 3(-2 + 5x) = 4(x + 6) (-2 * 3 + 5x * 3) = 4(x + 6) (-6 + 15x) = 4(x + 6) Reorder the terms: -6 + 15x = 4(6 + x) -6 + 15x = (6 * 4 + x * 4) -6 + 15x = (24 + 4x) Solving -6 + 15x = 24 + 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. -6 + 15x + -4x = 24 + 4x + -4x Combine like terms: 15x + -4x = 11x -6 + 11x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 11x = 24 + 0 -6 + 11x = 24 Add '6' to each side of the equation. -6 + 6 + 11x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 24 + 6 11x = 24 + 6 Combine like terms: 24 + 6 = 30 11x = 30 Divide each side by '11'. x = 2.727272727 Simplifying x = 2.727272727
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