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Simplifying 6x + 3(-7x + 6) = -117 Reorder the terms: 6x + 3(6 + -7x) = -117 6x + (6 * 3 + -7x * 3) = -117 6x + (18 + -21x) = -117 Reorder the terms: 18 + 6x + -21x = -117 Combine like terms: 6x + -21x = -15x 18 + -15x = -117 Solving 18 + -15x = -117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -15x = -117 + -18 Combine like terms: 18 + -18 = 0 0 + -15x = -117 + -18 -15x = -117 + -18 Combine like terms: -117 + -18 = -135 -15x = -135 Divide each side by '-15'. x = 9 Simplifying x = 9
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