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Simplifying 6(2x + 4) = -77 + 5(4 + -3x) Reorder the terms: 6(4 + 2x) = -77 + 5(4 + -3x) (4 * 6 + 2x * 6) = -77 + 5(4 + -3x) (24 + 12x) = -77 + 5(4 + -3x) 24 + 12x = -77 + (4 * 5 + -3x * 5) 24 + 12x = -77 + (20 + -15x) Combine like terms: -77 + 20 = -57 24 + 12x = -57 + -15x Solving 24 + 12x = -57 + -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. 24 + 12x + 15x = -57 + -15x + 15x Combine like terms: 12x + 15x = 27x 24 + 27x = -57 + -15x + 15x Combine like terms: -15x + 15x = 0 24 + 27x = -57 + 0 24 + 27x = -57 Add '-24' to each side of the equation. 24 + -24 + 27x = -57 + -24 Combine like terms: 24 + -24 = 0 0 + 27x = -57 + -24 27x = -57 + -24 Combine like terms: -57 + -24 = -81 27x = -81 Divide each side by '27'. x = -3 Simplifying x = -3
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