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Simplifying 6[1 + -1(-3x + -9)] = 90x + 276 Reorder the terms: 6[1 + -1(-9 + -3x)] = 90x + 276 6[1 + (-9 * -1 + -3x * -1)] = 90x + 276 6[1 + (9 + 3x)] = 90x + 276 Combine like terms: 1 + 9 = 10 6[10 + 3x] = 90x + 276 [10 * 6 + 3x * 6] = 90x + 276 [60 + 18x] = 90x + 276 Reorder the terms: 60 + 18x = 276 + 90x Solving 60 + 18x = 276 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 60 + 18x + -90x = 276 + 90x + -90x Combine like terms: 18x + -90x = -72x 60 + -72x = 276 + 90x + -90x Combine like terms: 90x + -90x = 0 60 + -72x = 276 + 0 60 + -72x = 276 Add '-60' to each side of the equation. 60 + -60 + -72x = 276 + -60 Combine like terms: 60 + -60 = 0 0 + -72x = 276 + -60 -72x = 276 + -60 Combine like terms: 276 + -60 = 216 -72x = 216 Divide each side by '-72'. x = -3 Simplifying x = -3
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