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Simplifying 4x + -1(-6 + 2x) + 21 = 43 4x + (-6 * -1 + 2x * -1) + 21 = 43 4x + (6 + -2x) + 21 = 43 Reorder the terms: 6 + 21 + 4x + -2x = 43 Combine like terms: 6 + 21 = 27 27 + 4x + -2x = 43 Combine like terms: 4x + -2x = 2x 27 + 2x = 43 Solving 27 + 2x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 2x = 43 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 43 + -27 2x = 43 + -27 Combine like terms: 43 + -27 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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