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Simplifying 7(12 + 8x) + -6 = 9(7x + 2) + -1x (12 * 7 + 8x * 7) + -6 = 9(7x + 2) + -1x (84 + 56x) + -6 = 9(7x + 2) + -1x Reorder the terms: 84 + -6 + 56x = 9(7x + 2) + -1x Combine like terms: 84 + -6 = 78 78 + 56x = 9(7x + 2) + -1x Reorder the terms: 78 + 56x = 9(2 + 7x) + -1x 78 + 56x = (2 * 9 + 7x * 9) + -1x 78 + 56x = (18 + 63x) + -1x Combine like terms: 63x + -1x = 62x 78 + 56x = 18 + 62x Solving 78 + 56x = 18 + 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. 78 + 56x + -62x = 18 + 62x + -62x Combine like terms: 56x + -62x = -6x 78 + -6x = 18 + 62x + -62x Combine like terms: 62x + -62x = 0 78 + -6x = 18 + 0 78 + -6x = 18 Add '-78' to each side of the equation. 78 + -78 + -6x = 18 + -78 Combine like terms: 78 + -78 = 0 0 + -6x = 18 + -78 -6x = 18 + -78 Combine like terms: 18 + -78 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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