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Simplifying 2(6x + 21) = 4x + 106 Reorder the terms: 2(21 + 6x) = 4x + 106 (21 * 2 + 6x * 2) = 4x + 106 (42 + 12x) = 4x + 106 Reorder the terms: 42 + 12x = 106 + 4x Solving 42 + 12x = 106 + 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. 42 + 12x + -4x = 106 + 4x + -4x Combine like terms: 12x + -4x = 8x 42 + 8x = 106 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 8x = 106 + 0 42 + 8x = 106 Add '-42' to each side of the equation. 42 + -42 + 8x = 106 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 106 + -42 8x = 106 + -42 Combine like terms: 106 + -42 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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