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Simplifying 6(x + 4) = 30 + -5(x + 6) Reorder the terms: 6(4 + x) = 30 + -5(x + 6) (4 * 6 + x * 6) = 30 + -5(x + 6) (24 + 6x) = 30 + -5(x + 6) Reorder the terms: 24 + 6x = 30 + -5(6 + x) 24 + 6x = 30 + (6 * -5 + x * -5) 24 + 6x = 30 + (-30 + -5x) Combine like terms: 30 + -30 = 0 24 + 6x = 0 + -5x 24 + 6x = -5x Solving 24 + 6x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 24 + 6x + 5x = -5x + 5x Combine like terms: 6x + 5x = 11x 24 + 11x = -5x + 5x Combine like terms: -5x + 5x = 0 24 + 11x = 0 Add '-24' to each side of the equation. 24 + -24 + 11x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 11x = 0 + -24 11x = 0 + -24 Combine like terms: 0 + -24 = -24 11x = -24 Divide each side by '11'. x = -2.181818182 Simplifying x = -2.181818182
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