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Simplifying 4x + 2(15 + -1x) = 42 4x + (15 * 2 + -1x * 2) = 42 4x + (30 + -2x) = 42 Reorder the terms: 30 + 4x + -2x = 42 Combine like terms: 4x + -2x = 2x 30 + 2x = 42 Solving 30 + 2x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 42 + -30 2x = 42 + -30 Combine like terms: 42 + -30 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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