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Simplifying 6(1 + 5x) = 29 + 7x (1 * 6 + 5x * 6) = 29 + 7x (6 + 30x) = 29 + 7x Solving 6 + 30x = 29 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 30x + -7x = 29 + 7x + -7x Combine like terms: 30x + -7x = 23x 6 + 23x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 23x = 29 + 0 6 + 23x = 29 Add '-6' to each side of the equation. 6 + -6 + 23x = 29 + -6 Combine like terms: 6 + -6 = 0 0 + 23x = 29 + -6 23x = 29 + -6 Combine like terms: 29 + -6 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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