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Simplifying 166 = 5x + 4(7x + -8) Reorder the terms: 166 = 5x + 4(-8 + 7x) 166 = 5x + (-8 * 4 + 7x * 4) 166 = 5x + (-32 + 28x) Reorder the terms: 166 = -32 + 5x + 28x Combine like terms: 5x + 28x = 33x 166 = -32 + 33x Solving 166 = -32 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 166 + -33x = -32 + 33x + -33x Combine like terms: 33x + -33x = 0 166 + -33x = -32 + 0 166 + -33x = -32 Add '-166' to each side of the equation. 166 + -166 + -33x = -32 + -166 Combine like terms: 166 + -166 = 0 0 + -33x = -32 + -166 -33x = -32 + -166 Combine like terms: -32 + -166 = -198 -33x = -198 Divide each side by '-33'. x = 6 Simplifying x = 6
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