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Simplifying 3[3 + -1(-6x + -7)] = 90x + 114 Reorder the terms: 3[3 + -1(-7 + -6x)] = 90x + 114 3[3 + (-7 * -1 + -6x * -1)] = 90x + 114 3[3 + (7 + 6x)] = 90x + 114 Combine like terms: 3 + 7 = 10 3[10 + 6x] = 90x + 114 [10 * 3 + 6x * 3] = 90x + 114 [30 + 18x] = 90x + 114 Reorder the terms: 30 + 18x = 114 + 90x Solving 30 + 18x = 114 + 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. 30 + 18x + -90x = 114 + 90x + -90x Combine like terms: 18x + -90x = -72x 30 + -72x = 114 + 90x + -90x Combine like terms: 90x + -90x = 0 30 + -72x = 114 + 0 30 + -72x = 114 Add '-30' to each side of the equation. 30 + -30 + -72x = 114 + -30 Combine like terms: 30 + -30 = 0 0 + -72x = 114 + -30 -72x = 114 + -30 Combine like terms: 114 + -30 = 84 -72x = 84 Divide each side by '-72'. x = -1.166666667 Simplifying x = -1.166666667
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