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Simplifying 7x + 3x + -4 = 45 + -3x + 7x Reorder the terms: -4 + 7x + 3x = 45 + -3x + 7x Combine like terms: 7x + 3x = 10x -4 + 10x = 45 + -3x + 7x Combine like terms: -3x + 7x = 4x -4 + 10x = 45 + 4x Solving -4 + 10x = 45 + 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. -4 + 10x + -4x = 45 + 4x + -4x Combine like terms: 10x + -4x = 6x -4 + 6x = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 6x = 45 + 0 -4 + 6x = 45 Add '4' to each side of the equation. -4 + 4 + 6x = 45 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 45 + 4 6x = 45 + 4 Combine like terms: 45 + 4 = 49 6x = 49 Divide each side by '6'. x = 8.166666667 Simplifying x = 8.166666667
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