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Simplifying 6(2x + -1) * 12 = -2(x + 10) Reorder the terms: 6(-1 + 2x) * 12 = -2(x + 10) Reorder the terms for easier multiplication: 6 * 12(-1 + 2x) = -2(x + 10) Multiply 6 * 12 72(-1 + 2x) = -2(x + 10) (-1 * 72 + 2x * 72) = -2(x + 10) (-72 + 144x) = -2(x + 10) Reorder the terms: -72 + 144x = -2(10 + x) -72 + 144x = (10 * -2 + x * -2) -72 + 144x = (-20 + -2x) Solving -72 + 144x = -20 + -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. -72 + 144x + 2x = -20 + -2x + 2x Combine like terms: 144x + 2x = 146x -72 + 146x = -20 + -2x + 2x Combine like terms: -2x + 2x = 0 -72 + 146x = -20 + 0 -72 + 146x = -20 Add '72' to each side of the equation. -72 + 72 + 146x = -20 + 72 Combine like terms: -72 + 72 = 0 0 + 146x = -20 + 72 146x = -20 + 72 Combine like terms: -20 + 72 = 52 146x = 52 Divide each side by '146'. x = 0.3561643836 Simplifying x = 0.3561643836
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