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Simplifying 30 + 2(6x + -8) = 2x + -1(5 + -2x) + 51 Reorder the terms: 30 + 2(-8 + 6x) = 2x + -1(5 + -2x) + 51 30 + (-8 * 2 + 6x * 2) = 2x + -1(5 + -2x) + 51 30 + (-16 + 12x) = 2x + -1(5 + -2x) + 51 Combine like terms: 30 + -16 = 14 14 + 12x = 2x + -1(5 + -2x) + 51 14 + 12x = 2x + (5 * -1 + -2x * -1) + 51 14 + 12x = 2x + (-5 + 2x) + 51 Reorder the terms: 14 + 12x = -5 + 51 + 2x + 2x Combine like terms: -5 + 51 = 46 14 + 12x = 46 + 2x + 2x Combine like terms: 2x + 2x = 4x 14 + 12x = 46 + 4x Solving 14 + 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. 14 + 12x + -4x = 46 + 4x + -4x Combine like terms: 12x + -4x = 8x 14 + 8x = 46 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 8x = 46 + 0 14 + 8x = 46 Add '-14' to each side of the equation. 14 + -14 + 8x = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 46 + -14 8x = 46 + -14 Combine like terms: 46 + -14 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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