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Simplifying 8x + 7x + -84 = 42 + -4x Reorder the terms: -84 + 8x + 7x = 42 + -4x Combine like terms: 8x + 7x = 15x -84 + 15x = 42 + -4x Solving -84 + 15x = 42 + -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. -84 + 15x + 4x = 42 + -4x + 4x Combine like terms: 15x + 4x = 19x -84 + 19x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 -84 + 19x = 42 + 0 -84 + 19x = 42 Add '84' to each side of the equation. -84 + 84 + 19x = 42 + 84 Combine like terms: -84 + 84 = 0 0 + 19x = 42 + 84 19x = 42 + 84 Combine like terms: 42 + 84 = 126 19x = 126 Divide each side by '19'. x = 6.631578947 Simplifying x = 6.631578947
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