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Simplifying 6(2x + -12) = 10x + 2 Reorder the terms: 6(-12 + 2x) = 10x + 2 (-12 * 6 + 2x * 6) = 10x + 2 (-72 + 12x) = 10x + 2 Reorder the terms: -72 + 12x = 2 + 10x Solving -72 + 12x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -72 + 12x + -10x = 2 + 10x + -10x Combine like terms: 12x + -10x = 2x -72 + 2x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -72 + 2x = 2 + 0 -72 + 2x = 2 Add '72' to each side of the equation. -72 + 72 + 2x = 2 + 72 Combine like terms: -72 + 72 = 0 0 + 2x = 2 + 72 2x = 2 + 72 Combine like terms: 2 + 72 = 74 2x = 74 Divide each side by '2'. x = 37 Simplifying x = 37
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