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Simplifying 38 + -2x = 30 + -2(2x + -1) Reorder the terms: 38 + -2x = 30 + -2(-1 + 2x) 38 + -2x = 30 + (-1 * -2 + 2x * -2) 38 + -2x = 30 + (2 + -4x) Combine like terms: 30 + 2 = 32 38 + -2x = 32 + -4x Solving 38 + -2x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 38 + -2x + 4x = 32 + -4x + 4x Combine like terms: -2x + 4x = 2x 38 + 2x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 38 + 2x = 32 + 0 38 + 2x = 32 Add '-38' to each side of the equation. 38 + -38 + 2x = 32 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 32 + -38 2x = 32 + -38 Combine like terms: 32 + -38 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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