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Simplifying 2x + 38 = 2(5 + -1x) Reorder the terms: 38 + 2x = 2(5 + -1x) 38 + 2x = (5 * 2 + -1x * 2) 38 + 2x = (10 + -2x) Solving 38 + 2x = 10 + -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. 38 + 2x + 2x = 10 + -2x + 2x Combine like terms: 2x + 2x = 4x 38 + 4x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 38 + 4x = 10 + 0 38 + 4x = 10 Add '-38' to each side of the equation. 38 + -38 + 4x = 10 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = 10 + -38 4x = 10 + -38 Combine like terms: 10 + -38 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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