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Simplifying -3 + 7(10x + -7) = -3x + 161 Reorder the terms: -3 + 7(-7 + 10x) = -3x + 161 -3 + (-7 * 7 + 10x * 7) = -3x + 161 -3 + (-49 + 70x) = -3x + 161 Combine like terms: -3 + -49 = -52 -52 + 70x = -3x + 161 Reorder the terms: -52 + 70x = 161 + -3x Solving -52 + 70x = 161 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -52 + 70x + 3x = 161 + -3x + 3x Combine like terms: 70x + 3x = 73x -52 + 73x = 161 + -3x + 3x Combine like terms: -3x + 3x = 0 -52 + 73x = 161 + 0 -52 + 73x = 161 Add '52' to each side of the equation. -52 + 52 + 73x = 161 + 52 Combine like terms: -52 + 52 = 0 0 + 73x = 161 + 52 73x = 161 + 52 Combine like terms: 161 + 52 = 213 73x = 213 Divide each side by '73'. x = 2.917808219 Simplifying x = 2.917808219
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