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Simplifying 3(4x + 5) = 10x + 5 Reorder the terms: 3(5 + 4x) = 10x + 5 (5 * 3 + 4x * 3) = 10x + 5 (15 + 12x) = 10x + 5 Reorder the terms: 15 + 12x = 5 + 10x Solving 15 + 12x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 12x + -10x = 5 + 10x + -10x Combine like terms: 12x + -10x = 2x 15 + 2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + 2x = 5 + 0 15 + 2x = 5 Add '-15' to each side of the equation. 15 + -15 + 2x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 5 + -15 2x = 5 + -15 Combine like terms: 5 + -15 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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