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Simplifying 4(5 + 3x) + -5 = 3(3x + 7) (5 * 4 + 3x * 4) + -5 = 3(3x + 7) (20 + 12x) + -5 = 3(3x + 7) Reorder the terms: 20 + -5 + 12x = 3(3x + 7) Combine like terms: 20 + -5 = 15 15 + 12x = 3(3x + 7) Reorder the terms: 15 + 12x = 3(7 + 3x) 15 + 12x = (7 * 3 + 3x * 3) 15 + 12x = (21 + 9x) Solving 15 + 12x = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 12x + -9x = 21 + 9x + -9x Combine like terms: 12x + -9x = 3x 15 + 3x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + 3x = 21 + 0 15 + 3x = 21 Add '-15' to each side of the equation. 15 + -15 + 3x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 21 + -15 3x = 21 + -15 Combine like terms: 21 + -15 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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