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Simplifying 2 + 9(4x + 6) = 7 + -4(9x + -8) Reorder the terms: 2 + 9(6 + 4x) = 7 + -4(9x + -8) 2 + (6 * 9 + 4x * 9) = 7 + -4(9x + -8) 2 + (54 + 36x) = 7 + -4(9x + -8) Combine like terms: 2 + 54 = 56 56 + 36x = 7 + -4(9x + -8) Reorder the terms: 56 + 36x = 7 + -4(-8 + 9x) 56 + 36x = 7 + (-8 * -4 + 9x * -4) 56 + 36x = 7 + (32 + -36x) Combine like terms: 7 + 32 = 39 56 + 36x = 39 + -36x Solving 56 + 36x = 39 + -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. 56 + 36x + 36x = 39 + -36x + 36x Combine like terms: 36x + 36x = 72x 56 + 72x = 39 + -36x + 36x Combine like terms: -36x + 36x = 0 56 + 72x = 39 + 0 56 + 72x = 39 Add '-56' to each side of the equation. 56 + -56 + 72x = 39 + -56 Combine like terms: 56 + -56 = 0 0 + 72x = 39 + -56 72x = 39 + -56 Combine like terms: 39 + -56 = -17 72x = -17 Divide each side by '72'. x = -0.2361111111 Simplifying x = -0.2361111111
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