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Simplifying 5(x + -4) + 2x = 12 + 4x Reorder the terms: 5(-4 + x) + 2x = 12 + 4x (-4 * 5 + x * 5) + 2x = 12 + 4x (-20 + 5x) + 2x = 12 + 4x Combine like terms: 5x + 2x = 7x -20 + 7x = 12 + 4x Solving -20 + 7x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x -20 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 3x = 12 + 0 -20 + 3x = 12 Add '20' to each side of the equation. -20 + 20 + 3x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 12 + 20 3x = 12 + 20 Combine like terms: 12 + 20 = 32 3x = 32 Divide each side by '3'. x = 10.66666667 Simplifying x = 10.66666667
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