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Simplifying 6(2x + -5) + 2(4 + -3x) = 2 Reorder the terms: 6(-5 + 2x) + 2(4 + -3x) = 2 (-5 * 6 + 2x * 6) + 2(4 + -3x) = 2 (-30 + 12x) + 2(4 + -3x) = 2 -30 + 12x + (4 * 2 + -3x * 2) = 2 -30 + 12x + (8 + -6x) = 2 Reorder the terms: -30 + 8 + 12x + -6x = 2 Combine like terms: -30 + 8 = -22 -22 + 12x + -6x = 2 Combine like terms: 12x + -6x = 6x -22 + 6x = 2 Solving -22 + 6x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6x = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = 2 + 22 6x = 2 + 22 Combine like terms: 2 + 22 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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