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Simplifying 6(x + -12) = 3x + 10 Reorder the terms: 6(-12 + x) = 3x + 10 (-12 * 6 + x * 6) = 3x + 10 (-72 + 6x) = 3x + 10 Reorder the terms: -72 + 6x = 10 + 3x Solving -72 + 6x = 10 + 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. -72 + 6x + -3x = 10 + 3x + -3x Combine like terms: 6x + -3x = 3x -72 + 3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -72 + 3x = 10 + 0 -72 + 3x = 10 Add '72' to each side of the equation. -72 + 72 + 3x = 10 + 72 Combine like terms: -72 + 72 = 0 0 + 3x = 10 + 72 3x = 10 + 72 Combine like terms: 10 + 72 = 82 3x = 82 Divide each side by '3'. x = 27.33333333 Simplifying x = 27.33333333
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