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Simplifying 2(4x + 10) = 6x + 54 Reorder the terms: 2(10 + 4x) = 6x + 54 (10 * 2 + 4x * 2) = 6x + 54 (20 + 8x) = 6x + 54 Reorder the terms: 20 + 8x = 54 + 6x Solving 20 + 8x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 8x + -6x = 54 + 6x + -6x Combine like terms: 8x + -6x = 2x 20 + 2x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 2x = 54 + 0 20 + 2x = 54 Add '-20' to each side of the equation. 20 + -20 + 2x = 54 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 54 + -20 2x = 54 + -20 Combine like terms: 54 + -20 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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