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Simplifying 6(4x + 9) + 2 = -1x + 181 Reorder the terms: 6(9 + 4x) + 2 = -1x + 181 (9 * 6 + 4x * 6) + 2 = -1x + 181 (54 + 24x) + 2 = -1x + 181 Reorder the terms: 54 + 2 + 24x = -1x + 181 Combine like terms: 54 + 2 = 56 56 + 24x = -1x + 181 Reorder the terms: 56 + 24x = 181 + -1x Solving 56 + 24x = 181 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 56 + 24x + x = 181 + -1x + x Combine like terms: 24x + x = 25x 56 + 25x = 181 + -1x + x Combine like terms: -1x + x = 0 56 + 25x = 181 + 0 56 + 25x = 181 Add '-56' to each side of the equation. 56 + -56 + 25x = 181 + -56 Combine like terms: 56 + -56 = 0 0 + 25x = 181 + -56 25x = 181 + -56 Combine like terms: 181 + -56 = 125 25x = 125 Divide each side by '25'. x = 5 Simplifying x = 5
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