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Simplifying 6(45x + -18) + 34 = 7(7x + 16) + -10 Reorder the terms: 6(-18 + 45x) + 34 = 7(7x + 16) + -10 (-18 * 6 + 45x * 6) + 34 = 7(7x + 16) + -10 (-108 + 270x) + 34 = 7(7x + 16) + -10 Reorder the terms: -108 + 34 + 270x = 7(7x + 16) + -10 Combine like terms: -108 + 34 = -74 -74 + 270x = 7(7x + 16) + -10 Reorder the terms: -74 + 270x = 7(16 + 7x) + -10 -74 + 270x = (16 * 7 + 7x * 7) + -10 -74 + 270x = (112 + 49x) + -10 Reorder the terms: -74 + 270x = 112 + -10 + 49x Combine like terms: 112 + -10 = 102 -74 + 270x = 102 + 49x Solving -74 + 270x = 102 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. -74 + 270x + -49x = 102 + 49x + -49x Combine like terms: 270x + -49x = 221x -74 + 221x = 102 + 49x + -49x Combine like terms: 49x + -49x = 0 -74 + 221x = 102 + 0 -74 + 221x = 102 Add '74' to each side of the equation. -74 + 74 + 221x = 102 + 74 Combine like terms: -74 + 74 = 0 0 + 221x = 102 + 74 221x = 102 + 74 Combine like terms: 102 + 74 = 176 221x = 176 Divide each side by '221'. x = 0.7963800905 Simplifying x = 0.7963800905
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