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Simplifying 2(6x + -1) + 4(2 + -1x) = 30 Reorder the terms: 2(-1 + 6x) + 4(2 + -1x) = 30 (-1 * 2 + 6x * 2) + 4(2 + -1x) = 30 (-2 + 12x) + 4(2 + -1x) = 30 -2 + 12x + (2 * 4 + -1x * 4) = 30 -2 + 12x + (8 + -4x) = 30 Reorder the terms: -2 + 8 + 12x + -4x = 30 Combine like terms: -2 + 8 = 6 6 + 12x + -4x = 30 Combine like terms: 12x + -4x = 8x 6 + 8x = 30 Solving 6 + 8x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 30 + -6 8x = 30 + -6 Combine like terms: 30 + -6 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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