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Simplifying 5(3x + 5) = 23 + -12x + 7x Reorder the terms: 5(5 + 3x) = 23 + -12x + 7x (5 * 5 + 3x * 5) = 23 + -12x + 7x (25 + 15x) = 23 + -12x + 7x Combine like terms: -12x + 7x = -5x 25 + 15x = 23 + -5x Solving 25 + 15x = 23 + -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. 25 + 15x + 5x = 23 + -5x + 5x Combine like terms: 15x + 5x = 20x 25 + 20x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 25 + 20x = 23 + 0 25 + 20x = 23 Add '-25' to each side of the equation. 25 + -25 + 20x = 23 + -25 Combine like terms: 25 + -25 = 0 0 + 20x = 23 + -25 20x = 23 + -25 Combine like terms: 23 + -25 = -2 20x = -2 Divide each side by '20'. x = -0.1 Simplifying x = -0.1
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