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Simplifying 6x + -5x = -2(7 + -7x) + -12(9 + -4x) Combine like terms: 6x + -5x = 1x 1x = -2(7 + -7x) + -12(9 + -4x) 1x = (7 * -2 + -7x * -2) + -12(9 + -4x) 1x = (-14 + 14x) + -12(9 + -4x) 1x = -14 + 14x + (9 * -12 + -4x * -12) 1x = -14 + 14x + (-108 + 48x) Reorder the terms: 1x = -14 + -108 + 14x + 48x Combine like terms: -14 + -108 = -122 1x = -122 + 14x + 48x Combine like terms: 14x + 48x = 62x 1x = -122 + 62x Solving 1x = -122 + 62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62x' to each side of the equation. 1x + -62x = -122 + 62x + -62x Combine like terms: 1x + -62x = -61x -61x = -122 + 62x + -62x Combine like terms: 62x + -62x = 0 -61x = -122 + 0 -61x = -122 Divide each side by '-61'. x = 2 Simplifying x = 2
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