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Simplifying 163 = 1 + 6(7 + 5x) 163 = 1 + (7 * 6 + 5x * 6) 163 = 1 + (42 + 30x) Combine like terms: 1 + 42 = 43 163 = 43 + 30x Solving 163 = 43 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 163 + -30x = 43 + 30x + -30x Combine like terms: 30x + -30x = 0 163 + -30x = 43 + 0 163 + -30x = 43 Add '-163' to each side of the equation. 163 + -163 + -30x = 43 + -163 Combine like terms: 163 + -163 = 0 0 + -30x = 43 + -163 -30x = 43 + -163 Combine like terms: 43 + -163 = -120 -30x = -120 Divide each side by '-30'. x = 4 Simplifying x = 4
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