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Simplifying -6(2x + -3) + 4x + -9x = 52 Reorder the terms: -6(-3 + 2x) + 4x + -9x = 52 (-3 * -6 + 2x * -6) + 4x + -9x = 52 (18 + -12x) + 4x + -9x = 52 Combine like terms: -12x + 4x = -8x 18 + -8x + -9x = 52 Combine like terms: -8x + -9x = -17x 18 + -17x = 52 Solving 18 + -17x = 52 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 + -17x = 52 + -18 Combine like terms: 18 + -18 = 0 0 + -17x = 52 + -18 -17x = 52 + -18 Combine like terms: 52 + -18 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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