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Simplifying 164(x + -7) = 5(x + 2) Reorder the terms: 164(-7 + x) = 5(x + 2) (-7 * 164 + x * 164) = 5(x + 2) (-1148 + 164x) = 5(x + 2) Reorder the terms: -1148 + 164x = 5(2 + x) -1148 + 164x = (2 * 5 + x * 5) -1148 + 164x = (10 + 5x) Solving -1148 + 164x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1148 + 164x + -5x = 10 + 5x + -5x Combine like terms: 164x + -5x = 159x -1148 + 159x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -1148 + 159x = 10 + 0 -1148 + 159x = 10 Add '1148' to each side of the equation. -1148 + 1148 + 159x = 10 + 1148 Combine like terms: -1148 + 1148 = 0 0 + 159x = 10 + 1148 159x = 10 + 1148 Combine like terms: 10 + 1148 = 1158 159x = 1158 Divide each side by '159'. x = 7.283018868 Simplifying x = 7.283018868
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