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Simplifying 9(3x + 4) = 8(x + -6) + 18 Reorder the terms: 9(4 + 3x) = 8(x + -6) + 18 (4 * 9 + 3x * 9) = 8(x + -6) + 18 (36 + 27x) = 8(x + -6) + 18 Reorder the terms: 36 + 27x = 8(-6 + x) + 18 36 + 27x = (-6 * 8 + x * 8) + 18 36 + 27x = (-48 + 8x) + 18 Reorder the terms: 36 + 27x = -48 + 18 + 8x Combine like terms: -48 + 18 = -30 36 + 27x = -30 + 8x Solving 36 + 27x = -30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 36 + 27x + -8x = -30 + 8x + -8x Combine like terms: 27x + -8x = 19x 36 + 19x = -30 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + 19x = -30 + 0 36 + 19x = -30 Add '-36' to each side of the equation. 36 + -36 + 19x = -30 + -36 Combine like terms: 36 + -36 = 0 0 + 19x = -30 + -36 19x = -30 + -36 Combine like terms: -30 + -36 = -66 19x = -66 Divide each side by '19'. x = -3.473684211 Simplifying x = -3.473684211
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