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Simplifying 5(x + 2) + 38 = 3x Reorder the terms: 5(2 + x) + 38 = 3x (2 * 5 + x * 5) + 38 = 3x (10 + 5x) + 38 = 3x Reorder the terms: 10 + 38 + 5x = 3x Combine like terms: 10 + 38 = 48 48 + 5x = 3x Solving 48 + 5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 48 + 5x + -3x = 3x + -3x Combine like terms: 5x + -3x = 2x 48 + 2x = 3x + -3x Combine like terms: 3x + -3x = 0 48 + 2x = 0 Add '-48' to each side of the equation. 48 + -48 + 2x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = 0 + -48 2x = 0 + -48 Combine like terms: 0 + -48 = -48 2x = -48 Divide each side by '2'. x = -24 Simplifying x = -24
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