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Simplifying 15(x + -4) = 4(x + 6) Reorder the terms: 15(-4 + x) = 4(x + 6) (-4 * 15 + x * 15) = 4(x + 6) (-60 + 15x) = 4(x + 6) Reorder the terms: -60 + 15x = 4(6 + x) -60 + 15x = (6 * 4 + x * 4) -60 + 15x = (24 + 4x) Solving -60 + 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. -60 + 15x + -4x = 24 + 4x + -4x Combine like terms: 15x + -4x = 11x -60 + 11x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -60 + 11x = 24 + 0 -60 + 11x = 24 Add '60' to each side of the equation. -60 + 60 + 11x = 24 + 60 Combine like terms: -60 + 60 = 0 0 + 11x = 24 + 60 11x = 24 + 60 Combine like terms: 24 + 60 = 84 11x = 84 Divide each side by '11'. x = 7.636363636 Simplifying x = 7.636363636
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