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Simplifying 2(x + 3) + 4(x + -5) = 52 Reorder the terms: 2(3 + x) + 4(x + -5) = 52 (3 * 2 + x * 2) + 4(x + -5) = 52 (6 + 2x) + 4(x + -5) = 52 Reorder the terms: 6 + 2x + 4(-5 + x) = 52 6 + 2x + (-5 * 4 + x * 4) = 52 6 + 2x + (-20 + 4x) = 52 Reorder the terms: 6 + -20 + 2x + 4x = 52 Combine like terms: 6 + -20 = -14 -14 + 2x + 4x = 52 Combine like terms: 2x + 4x = 6x -14 + 6x = 52 Solving -14 + 6x = 52 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 + 6x = 52 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 52 + 14 6x = 52 + 14 Combine like terms: 52 + 14 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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