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Simplifying 5(x + 2) = 45 + -6x Reorder the terms: 5(2 + x) = 45 + -6x (2 * 5 + x * 5) = 45 + -6x (10 + 5x) = 45 + -6x Solving 10 + 5x = 45 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + 5x + 6x = 45 + -6x + 6x Combine like terms: 5x + 6x = 11x 10 + 11x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 11x = 45 + 0 10 + 11x = 45 Add '-10' to each side of the equation. 10 + -10 + 11x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 45 + -10 11x = 45 + -10 Combine like terms: 45 + -10 = 35 11x = 35 Divide each side by '11'. x = 3.181818182 Simplifying x = 3.181818182
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