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Simplifying 4x = 38 + -1(-2x + 18) Reorder the terms: 4x = 38 + -1(18 + -2x) 4x = 38 + (18 * -1 + -2x * -1) 4x = 38 + (-18 + 2x) Combine like terms: 38 + -18 = 20 4x = 20 + 2x Solving 4x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4x + -2x = 20 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = 20 + 0 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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