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Simplifying 12(x + -3) = 2(x + 5) + 8 Reorder the terms: 12(-3 + x) = 2(x + 5) + 8 (-3 * 12 + x * 12) = 2(x + 5) + 8 (-36 + 12x) = 2(x + 5) + 8 Reorder the terms: -36 + 12x = 2(5 + x) + 8 -36 + 12x = (5 * 2 + x * 2) + 8 -36 + 12x = (10 + 2x) + 8 Reorder the terms: -36 + 12x = 10 + 8 + 2x Combine like terms: 10 + 8 = 18 -36 + 12x = 18 + 2x Solving -36 + 12x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -36 + 12x + -2x = 18 + 2x + -2x Combine like terms: 12x + -2x = 10x -36 + 10x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 10x = 18 + 0 -36 + 10x = 18 Add '36' to each side of the equation. -36 + 36 + 10x = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 10x = 18 + 36 10x = 18 + 36 Combine like terms: 18 + 36 = 54 10x = 54 Divide each side by '10'. x = 5.4 Simplifying x = 5.4
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