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Simplifying 9(3x + 4) + 6(4x + 5) = 12x + 7 Reorder the terms: 9(4 + 3x) + 6(4x + 5) = 12x + 7 (4 * 9 + 3x * 9) + 6(4x + 5) = 12x + 7 (36 + 27x) + 6(4x + 5) = 12x + 7 Reorder the terms: 36 + 27x + 6(5 + 4x) = 12x + 7 36 + 27x + (5 * 6 + 4x * 6) = 12x + 7 36 + 27x + (30 + 24x) = 12x + 7 Reorder the terms: 36 + 30 + 27x + 24x = 12x + 7 Combine like terms: 36 + 30 = 66 66 + 27x + 24x = 12x + 7 Combine like terms: 27x + 24x = 51x 66 + 51x = 12x + 7 Reorder the terms: 66 + 51x = 7 + 12x Solving 66 + 51x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 66 + 51x + -12x = 7 + 12x + -12x Combine like terms: 51x + -12x = 39x 66 + 39x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 66 + 39x = 7 + 0 66 + 39x = 7 Add '-66' to each side of the equation. 66 + -66 + 39x = 7 + -66 Combine like terms: 66 + -66 = 0 0 + 39x = 7 + -66 39x = 7 + -66 Combine like terms: 7 + -66 = -59 39x = -59 Divide each side by '39'. x = -1.512820513 Simplifying x = -1.512820513
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