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Simplifying 3(2x + -2) + 5(x + 4) = 36 Reorder the terms: 3(-2 + 2x) + 5(x + 4) = 36 (-2 * 3 + 2x * 3) + 5(x + 4) = 36 (-6 + 6x) + 5(x + 4) = 36 Reorder the terms: -6 + 6x + 5(4 + x) = 36 -6 + 6x + (4 * 5 + x * 5) = 36 -6 + 6x + (20 + 5x) = 36 Reorder the terms: -6 + 20 + 6x + 5x = 36 Combine like terms: -6 + 20 = 14 14 + 6x + 5x = 36 Combine like terms: 6x + 5x = 11x 14 + 11x = 36 Solving 14 + 11x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 11x = 36 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 36 + -14 11x = 36 + -14 Combine like terms: 36 + -14 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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