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Simplifying 3x + 2(-3x + 38) = 52 Reorder the terms: 3x + 2(38 + -3x) = 52 3x + (38 * 2 + -3x * 2) = 52 3x + (76 + -6x) = 52 Reorder the terms: 76 + 3x + -6x = 52 Combine like terms: 3x + -6x = -3x 76 + -3x = 52 Solving 76 + -3x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + -3x = 52 + -76 Combine like terms: 76 + -76 = 0 0 + -3x = 52 + -76 -3x = 52 + -76 Combine like terms: 52 + -76 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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