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Simplifying 5(6x + 1) = 6(4x + -3) Reorder the terms: 5(1 + 6x) = 6(4x + -3) (1 * 5 + 6x * 5) = 6(4x + -3) (5 + 30x) = 6(4x + -3) Reorder the terms: 5 + 30x = 6(-3 + 4x) 5 + 30x = (-3 * 6 + 4x * 6) 5 + 30x = (-18 + 24x) Solving 5 + 30x = -18 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 5 + 30x + -24x = -18 + 24x + -24x Combine like terms: 30x + -24x = 6x 5 + 6x = -18 + 24x + -24x Combine like terms: 24x + -24x = 0 5 + 6x = -18 + 0 5 + 6x = -18 Add '-5' to each side of the equation. 5 + -5 + 6x = -18 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = -18 + -5 6x = -18 + -5 Combine like terms: -18 + -5 = -23 6x = -23 Divide each side by '6'. x = -3.833333333 Simplifying x = -3.833333333
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