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Simplifying 3(3x + -8) + -20 = 12 + 7x Reorder the terms: 3(-8 + 3x) + -20 = 12 + 7x (-8 * 3 + 3x * 3) + -20 = 12 + 7x (-24 + 9x) + -20 = 12 + 7x Reorder the terms: -24 + -20 + 9x = 12 + 7x Combine like terms: -24 + -20 = -44 -44 + 9x = 12 + 7x Solving -44 + 9x = 12 + 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. -44 + 9x + -7x = 12 + 7x + -7x Combine like terms: 9x + -7x = 2x -44 + 2x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -44 + 2x = 12 + 0 -44 + 2x = 12 Add '44' to each side of the equation. -44 + 44 + 2x = 12 + 44 Combine like terms: -44 + 44 = 0 0 + 2x = 12 + 44 2x = 12 + 44 Combine like terms: 12 + 44 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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