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Simplifying 9(4 + -2x) + 7x = 6(8 + 3x) (4 * 9 + -2x * 9) + 7x = 6(8 + 3x) (36 + -18x) + 7x = 6(8 + 3x) Combine like terms: -18x + 7x = -11x 36 + -11x = 6(8 + 3x) 36 + -11x = (8 * 6 + 3x * 6) 36 + -11x = (48 + 18x) Solving 36 + -11x = 48 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 36 + -11x + -18x = 48 + 18x + -18x Combine like terms: -11x + -18x = -29x 36 + -29x = 48 + 18x + -18x Combine like terms: 18x + -18x = 0 36 + -29x = 48 + 0 36 + -29x = 48 Add '-36' to each side of the equation. 36 + -36 + -29x = 48 + -36 Combine like terms: 36 + -36 = 0 0 + -29x = 48 + -36 -29x = 48 + -36 Combine like terms: 48 + -36 = 12 -29x = 12 Divide each side by '-29'. x = -0.4137931034 Simplifying x = -0.4137931034
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