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Simplifying -66 = 4 + -5(3x + 2) Reorder the terms: -66 = 4 + -5(2 + 3x) -66 = 4 + (2 * -5 + 3x * -5) -66 = 4 + (-10 + -15x) Combine like terms: 4 + -10 = -6 -66 = -6 + -15x Solving -66 = -6 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -66 + 15x = -6 + -15x + 15x Combine like terms: -15x + 15x = 0 -66 + 15x = -6 + 0 -66 + 15x = -6 Add '66' to each side of the equation. -66 + 66 + 15x = -6 + 66 Combine like terms: -66 + 66 = 0 0 + 15x = -6 + 66 15x = -6 + 66 Combine like terms: -6 + 66 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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