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Simplifying 3 + 5(6x + 1) = -38 + 7x Reorder the terms: 3 + 5(1 + 6x) = -38 + 7x 3 + (1 * 5 + 6x * 5) = -38 + 7x 3 + (5 + 30x) = -38 + 7x Combine like terms: 3 + 5 = 8 8 + 30x = -38 + 7x Solving 8 + 30x = -38 + 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. 8 + 30x + -7x = -38 + 7x + -7x Combine like terms: 30x + -7x = 23x 8 + 23x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 23x = -38 + 0 8 + 23x = -38 Add '-8' to each side of the equation. 8 + -8 + 23x = -38 + -8 Combine like terms: 8 + -8 = 0 0 + 23x = -38 + -8 23x = -38 + -8 Combine like terms: -38 + -8 = -46 23x = -46 Divide each side by '23'. x = -2 Simplifying x = -2
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