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Simplifying 8(x + -6) + -6(x + -5) = 6 Reorder the terms: 8(-6 + x) + -6(x + -5) = 6 (-6 * 8 + x * 8) + -6(x + -5) = 6 (-48 + 8x) + -6(x + -5) = 6 Reorder the terms: -48 + 8x + -6(-5 + x) = 6 -48 + 8x + (-5 * -6 + x * -6) = 6 -48 + 8x + (30 + -6x) = 6 Reorder the terms: -48 + 30 + 8x + -6x = 6 Combine like terms: -48 + 30 = -18 -18 + 8x + -6x = 6 Combine like terms: 8x + -6x = 2x -18 + 2x = 6 Solving -18 + 2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 2x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 6 + 18 2x = 6 + 18 Combine like terms: 6 + 18 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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