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Simplifying 8x + -1x = 5(4x + -12) + 5(12 + 4x) Combine like terms: 8x + -1x = 7x 7x = 5(4x + -12) + 5(12 + 4x) Reorder the terms: 7x = 5(-12 + 4x) + 5(12 + 4x) 7x = (-12 * 5 + 4x * 5) + 5(12 + 4x) 7x = (-60 + 20x) + 5(12 + 4x) 7x = -60 + 20x + (12 * 5 + 4x * 5) 7x = -60 + 20x + (60 + 20x) Reorder the terms: 7x = -60 + 60 + 20x + 20x Combine like terms: -60 + 60 = 0 7x = 0 + 20x + 20x 7x = 20x + 20x Combine like terms: 20x + 20x = 40x 7x = 40x Solving 7x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 7x + -40x = 40x + -40x Combine like terms: 7x + -40x = -33x -33x = 40x + -40x Combine like terms: 40x + -40x = 0 -33x = 0 Divide each side by '-33'. x = 0 Simplifying x = 0
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