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Simplifying 9(3x + 4) = 2(x + -6) + -17 Reorder the terms: 9(4 + 3x) = 2(x + -6) + -17 (4 * 9 + 3x * 9) = 2(x + -6) + -17 (36 + 27x) = 2(x + -6) + -17 Reorder the terms: 36 + 27x = 2(-6 + x) + -17 36 + 27x = (-6 * 2 + x * 2) + -17 36 + 27x = (-12 + 2x) + -17 Reorder the terms: 36 + 27x = -12 + -17 + 2x Combine like terms: -12 + -17 = -29 36 + 27x = -29 + 2x Solving 36 + 27x = -29 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 36 + 27x + -2x = -29 + 2x + -2x Combine like terms: 27x + -2x = 25x 36 + 25x = -29 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 25x = -29 + 0 36 + 25x = -29 Add '-36' to each side of the equation. 36 + -36 + 25x = -29 + -36 Combine like terms: 36 + -36 = 0 0 + 25x = -29 + -36 25x = -29 + -36 Combine like terms: -29 + -36 = -65 25x = -65 Divide each side by '25'. x = -2.6 Simplifying x = -2.6
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