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Simplifying 8 + 4(3x + -7) = 5(x + 3) Reorder the terms: 8 + 4(-7 + 3x) = 5(x + 3) 8 + (-7 * 4 + 3x * 4) = 5(x + 3) 8 + (-28 + 12x) = 5(x + 3) Combine like terms: 8 + -28 = -20 -20 + 12x = 5(x + 3) Reorder the terms: -20 + 12x = 5(3 + x) -20 + 12x = (3 * 5 + x * 5) -20 + 12x = (15 + 5x) Solving -20 + 12x = 15 + 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. -20 + 12x + -5x = 15 + 5x + -5x Combine like terms: 12x + -5x = 7x -20 + 7x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 7x = 15 + 0 -20 + 7x = 15 Add '20' to each side of the equation. -20 + 20 + 7x = 15 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 15 + 20 7x = 15 + 20 Combine like terms: 15 + 20 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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