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Simplifying (3x + 5) * 2 = 5(6x + 5) Reorder the terms: (5 + 3x) * 2 = 5(6x + 5) Reorder the terms for easier multiplication: 2(5 + 3x) = 5(6x + 5) (5 * 2 + 3x * 2) = 5(6x + 5) (10 + 6x) = 5(6x + 5) Reorder the terms: 10 + 6x = 5(5 + 6x) 10 + 6x = (5 * 5 + 6x * 5) 10 + 6x = (25 + 30x) Solving 10 + 6x = 25 + 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. 10 + 6x + -30x = 25 + 30x + -30x Combine like terms: 6x + -30x = -24x 10 + -24x = 25 + 30x + -30x Combine like terms: 30x + -30x = 0 10 + -24x = 25 + 0 10 + -24x = 25 Add '-10' to each side of the equation. 10 + -10 + -24x = 25 + -10 Combine like terms: 10 + -10 = 0 0 + -24x = 25 + -10 -24x = 25 + -10 Combine like terms: 25 + -10 = 15 -24x = 15 Divide each side by '-24'. x = -0.625 Simplifying x = -0.625
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