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Simplifying 12x + -15 = 5(x + 4) Reorder the terms: -15 + 12x = 5(x + 4) Reorder the terms: -15 + 12x = 5(4 + x) -15 + 12x = (4 * 5 + x * 5) -15 + 12x = (20 + 5x) Solving -15 + 12x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 12x + -5x = 20 + 5x + -5x Combine like terms: 12x + -5x = 7x -15 + 7x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 7x = 20 + 0 -15 + 7x = 20 Add '15' to each side of the equation. -15 + 15 + 7x = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 20 + 15 7x = 20 + 15 Combine like terms: 20 + 15 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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