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Simplifying -5 + 4(5 + 3x) = 7(x + 5) -5 + (5 * 4 + 3x * 4) = 7(x + 5) -5 + (20 + 12x) = 7(x + 5) Combine like terms: -5 + 20 = 15 15 + 12x = 7(x + 5) Reorder the terms: 15 + 12x = 7(5 + x) 15 + 12x = (5 * 7 + x * 7) 15 + 12x = (35 + 7x) Solving 15 + 12x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 12x + -7x = 35 + 7x + -7x Combine like terms: 12x + -7x = 5x 15 + 5x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 5x = 35 + 0 15 + 5x = 35 Add '-15' to each side of the equation. 15 + -15 + 5x = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 35 + -15 5x = 35 + -15 Combine like terms: 35 + -15 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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