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Simplifying 6(x + -12) = 4x + 12 Reorder the terms: 6(-12 + x) = 4x + 12 (-12 * 6 + x * 6) = 4x + 12 (-72 + 6x) = 4x + 12 Reorder the terms: -72 + 6x = 12 + 4x Solving -72 + 6x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -72 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x -72 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -72 + 2x = 12 + 0 -72 + 2x = 12 Add '72' to each side of the equation. -72 + 72 + 2x = 12 + 72 Combine like terms: -72 + 72 = 0 0 + 2x = 12 + 72 2x = 12 + 72 Combine like terms: 12 + 72 = 84 2x = 84 Divide each side by '2'. x = 42 Simplifying x = 42
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