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Simplifying 6x + 7(9 + -1x) = 61 6x + (9 * 7 + -1x * 7) = 61 6x + (63 + -7x) = 61 Reorder the terms: 63 + 6x + -7x = 61 Combine like terms: 6x + -7x = -1x 63 + -1x = 61 Solving 63 + -1x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -1x = 61 + -63 Combine like terms: 63 + -63 = 0 0 + -1x = 61 + -63 -1x = 61 + -63 Combine like terms: 61 + -63 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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