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Simplifying 8(x + -3) + -5(x + -6) = 12 Reorder the terms: 8(-3 + x) + -5(x + -6) = 12 (-3 * 8 + x * 8) + -5(x + -6) = 12 (-24 + 8x) + -5(x + -6) = 12 Reorder the terms: -24 + 8x + -5(-6 + x) = 12 -24 + 8x + (-6 * -5 + x * -5) = 12 -24 + 8x + (30 + -5x) = 12 Reorder the terms: -24 + 30 + 8x + -5x = 12 Combine like terms: -24 + 30 = 6 6 + 8x + -5x = 12 Combine like terms: 8x + -5x = 3x 6 + 3x = 12 Solving 6 + 3x = 12 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 + 3x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 12 + -6 3x = 12 + -6 Combine like terms: 12 + -6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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