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Simplifying 7(6 + -2x + -8x) + 9(7x + 6) = 12 Combine like terms: -2x + -8x = -10x 7(6 + -10x) + 9(7x + 6) = 12 (6 * 7 + -10x * 7) + 9(7x + 6) = 12 (42 + -70x) + 9(7x + 6) = 12 Reorder the terms: 42 + -70x + 9(6 + 7x) = 12 42 + -70x + (6 * 9 + 7x * 9) = 12 42 + -70x + (54 + 63x) = 12 Reorder the terms: 42 + 54 + -70x + 63x = 12 Combine like terms: 42 + 54 = 96 96 + -70x + 63x = 12 Combine like terms: -70x + 63x = -7x 96 + -7x = 12 Solving 96 + -7x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -7x = 12 + -96 Combine like terms: 96 + -96 = 0 0 + -7x = 12 + -96 -7x = 12 + -96 Combine like terms: 12 + -96 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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