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Simplifying 2 + -3x = 5 + 9(7 + -4x) 2 + -3x = 5 + (7 * 9 + -4x * 9) 2 + -3x = 5 + (63 + -36x) Combine like terms: 5 + 63 = 68 2 + -3x = 68 + -36x Solving 2 + -3x = 68 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 2 + -3x + 36x = 68 + -36x + 36x Combine like terms: -3x + 36x = 33x 2 + 33x = 68 + -36x + 36x Combine like terms: -36x + 36x = 0 2 + 33x = 68 + 0 2 + 33x = 68 Add '-2' to each side of the equation. 2 + -2 + 33x = 68 + -2 Combine like terms: 2 + -2 = 0 0 + 33x = 68 + -2 33x = 68 + -2 Combine like terms: 68 + -2 = 66 33x = 66 Divide each side by '33'. x = 2 Simplifying x = 2
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