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Simplifying 2(2x + -3) + 2(x + 4) = 36 Reorder the terms: 2(-3 + 2x) + 2(x + 4) = 36 (-3 * 2 + 2x * 2) + 2(x + 4) = 36 (-6 + 4x) + 2(x + 4) = 36 Reorder the terms: -6 + 4x + 2(4 + x) = 36 -6 + 4x + (4 * 2 + x * 2) = 36 -6 + 4x + (8 + 2x) = 36 Reorder the terms: -6 + 8 + 4x + 2x = 36 Combine like terms: -6 + 8 = 2 2 + 4x + 2x = 36 Combine like terms: 4x + 2x = 6x 2 + 6x = 36 Solving 2 + 6x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = 36 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 36 + -2 6x = 36 + -2 Combine like terms: 36 + -2 = 34 6x = 34 Divide each side by '6'. x = 5.666666667 Simplifying x = 5.666666667
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