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Simplifying 7x + 6(2x + -12) = 61 Reorder the terms: 7x + 6(-12 + 2x) = 61 7x + (-12 * 6 + 2x * 6) = 61 7x + (-72 + 12x) = 61 Reorder the terms: -72 + 7x + 12x = 61 Combine like terms: 7x + 12x = 19x -72 + 19x = 61 Solving -72 + 19x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 19x = 61 + 72 Combine like terms: -72 + 72 = 0 0 + 19x = 61 + 72 19x = 61 + 72 Combine like terms: 61 + 72 = 133 19x = 133 Divide each side by '19'. x = 7 Simplifying x = 7
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