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Simplifying 2(3x + 3) + 4(x + -5) = 36 Reorder the terms: 2(3 + 3x) + 4(x + -5) = 36 (3 * 2 + 3x * 2) + 4(x + -5) = 36 (6 + 6x) + 4(x + -5) = 36 Reorder the terms: 6 + 6x + 4(-5 + x) = 36 6 + 6x + (-5 * 4 + x * 4) = 36 6 + 6x + (-20 + 4x) = 36 Reorder the terms: 6 + -20 + 6x + 4x = 36 Combine like terms: 6 + -20 = -14 -14 + 6x + 4x = 36 Combine like terms: 6x + 4x = 10x -14 + 10x = 36 Solving -14 + 10x = 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 + 10x = 36 + 14 Combine like terms: -14 + 14 = 0 0 + 10x = 36 + 14 10x = 36 + 14 Combine like terms: 36 + 14 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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