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Simplifying 6(x + -5) + -2(3 + -1x) = 12 Reorder the terms: 6(-5 + x) + -2(3 + -1x) = 12 (-5 * 6 + x * 6) + -2(3 + -1x) = 12 (-30 + 6x) + -2(3 + -1x) = 12 -30 + 6x + (3 * -2 + -1x * -2) = 12 -30 + 6x + (-6 + 2x) = 12 Reorder the terms: -30 + -6 + 6x + 2x = 12 Combine like terms: -30 + -6 = -36 -36 + 6x + 2x = 12 Combine like terms: 6x + 2x = 8x -36 + 8x = 12 Solving -36 + 8x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 8x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 8x = 12 + 36 8x = 12 + 36 Combine like terms: 12 + 36 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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