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Simplifying 2(5x + 4) + -2 = 5x + 21 Reorder the terms: 2(4 + 5x) + -2 = 5x + 21 (4 * 2 + 5x * 2) + -2 = 5x + 21 (8 + 10x) + -2 = 5x + 21 Reorder the terms: 8 + -2 + 10x = 5x + 21 Combine like terms: 8 + -2 = 6 6 + 10x = 5x + 21 Reorder the terms: 6 + 10x = 21 + 5x Solving 6 + 10x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 10x + -5x = 21 + 5x + -5x Combine like terms: 10x + -5x = 5x 6 + 5x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 5x = 21 + 0 6 + 5x = 21 Add '-6' to each side of the equation. 6 + -6 + 5x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 21 + -6 5x = 21 + -6 Combine like terms: 21 + -6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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