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Simplifying 5(6x + 1) = 3(-8 + x) Reorder the terms: 5(1 + 6x) = 3(-8 + x) (1 * 5 + 6x * 5) = 3(-8 + x) (5 + 30x) = 3(-8 + x) 5 + 30x = (-8 * 3 + x * 3) 5 + 30x = (-24 + 3x) Solving 5 + 30x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 30x + -3x = -24 + 3x + -3x Combine like terms: 30x + -3x = 27x 5 + 27x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 27x = -24 + 0 5 + 27x = -24 Add '-5' to each side of the equation. 5 + -5 + 27x = -24 + -5 Combine like terms: 5 + -5 = 0 0 + 27x = -24 + -5 27x = -24 + -5 Combine like terms: -24 + -5 = -29 27x = -29 Divide each side by '27'. x = -1.074074074 Simplifying x = -1.074074074
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