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Simplifying 30 + 2(6x + 6) = 2x + -1(5 + -2x) + 51 Reorder the terms: 30 + 2(6 + 6x) = 2x + -1(5 + -2x) + 51 30 + (6 * 2 + 6x * 2) = 2x + -1(5 + -2x) + 51 30 + (12 + 12x) = 2x + -1(5 + -2x) + 51 Combine like terms: 30 + 12 = 42 42 + 12x = 2x + -1(5 + -2x) + 51 42 + 12x = 2x + (5 * -1 + -2x * -1) + 51 42 + 12x = 2x + (-5 + 2x) + 51 Reorder the terms: 42 + 12x = -5 + 51 + 2x + 2x Combine like terms: -5 + 51 = 46 42 + 12x = 46 + 2x + 2x Combine like terms: 2x + 2x = 4x 42 + 12x = 46 + 4x Solving 42 + 12x = 46 + 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 = 46 + 4x + -4x Combine like terms: 12x + -4x = 8x 42 + 8x = 46 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 8x = 46 + 0 42 + 8x = 46 Add '-42' to each side of the equation. 42 + -42 + 8x = 46 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 46 + -42 8x = 46 + -42 Combine like terms: 46 + -42 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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