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Simplifying 6(x + -5) = 3(x + 12) Reorder the terms: 6(-5 + x) = 3(x + 12) (-5 * 6 + x * 6) = 3(x + 12) (-30 + 6x) = 3(x + 12) Reorder the terms: -30 + 6x = 3(12 + x) -30 + 6x = (12 * 3 + x * 3) -30 + 6x = (36 + 3x) Solving -30 + 6x = 36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 6x + -3x = 36 + 3x + -3x Combine like terms: 6x + -3x = 3x -30 + 3x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 3x = 36 + 0 -30 + 3x = 36 Add '30' to each side of the equation. -30 + 30 + 3x = 36 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = 36 + 30 3x = 36 + 30 Combine like terms: 36 + 30 = 66 3x = 66 Divide each side by '3'. x = 22 Simplifying x = 22
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