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Simplifying 5(3x + -2) + -6 = 44 Reorder the terms: 5(-2 + 3x) + -6 = 44 (-2 * 5 + 3x * 5) + -6 = 44 (-10 + 15x) + -6 = 44 Reorder the terms: -10 + -6 + 15x = 44 Combine like terms: -10 + -6 = -16 -16 + 15x = 44 Solving -16 + 15x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 15x = 44 + 16 Combine like terms: -16 + 16 = 0 0 + 15x = 44 + 16 15x = 44 + 16 Combine like terms: 44 + 16 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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