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Simplifying 3(x + 6) + 8(x + -3) = 12 Reorder the terms: 3(6 + x) + 8(x + -3) = 12 (6 * 3 + x * 3) + 8(x + -3) = 12 (18 + 3x) + 8(x + -3) = 12 Reorder the terms: 18 + 3x + 8(-3 + x) = 12 18 + 3x + (-3 * 8 + x * 8) = 12 18 + 3x + (-24 + 8x) = 12 Reorder the terms: 18 + -24 + 3x + 8x = 12 Combine like terms: 18 + -24 = -6 -6 + 3x + 8x = 12 Combine like terms: 3x + 8x = 11x -6 + 11x = 12 Solving -6 + 11x = 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 + 11x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 12 + 6 11x = 12 + 6 Combine like terms: 12 + 6 = 18 11x = 18 Divide each side by '11'. x = 1.636363636 Simplifying x = 1.636363636
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