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Simplifying 12x + -16 + 7x = 56 + -5x + 24 Reorder the terms: -16 + 12x + 7x = 56 + -5x + 24 Combine like terms: 12x + 7x = 19x -16 + 19x = 56 + -5x + 24 Reorder the terms: -16 + 19x = 56 + 24 + -5x Combine like terms: 56 + 24 = 80 -16 + 19x = 80 + -5x Solving -16 + 19x = 80 + -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. -16 + 19x + 5x = 80 + -5x + 5x Combine like terms: 19x + 5x = 24x -16 + 24x = 80 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 24x = 80 + 0 -16 + 24x = 80 Add '16' to each side of the equation. -16 + 16 + 24x = 80 + 16 Combine like terms: -16 + 16 = 0 0 + 24x = 80 + 16 24x = 80 + 16 Combine like terms: 80 + 16 = 96 24x = 96 Divide each side by '24'. x = 4 Simplifying x = 4
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