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Simplifying 4x + 5(x + -4) = 12 + 5x Reorder the terms: 4x + 5(-4 + x) = 12 + 5x 4x + (-4 * 5 + x * 5) = 12 + 5x 4x + (-20 + 5x) = 12 + 5x Reorder the terms: -20 + 4x + 5x = 12 + 5x Combine like terms: 4x + 5x = 9x -20 + 9x = 12 + 5x Solving -20 + 9x = 12 + 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 + 9x + -5x = 12 + 5x + -5x Combine like terms: 9x + -5x = 4x -20 + 4x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 4x = 12 + 0 -20 + 4x = 12 Add '20' to each side of the equation. -20 + 20 + 4x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 12 + 20 4x = 12 + 20 Combine like terms: 12 + 20 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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