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Simplifying 5x + 1 + -3x + -2 + 2x + -6 = 0 Reorder the terms: 1 + -2 + -6 + 5x + -3x + 2x = 0 Combine like terms: 1 + -2 = -1 -1 + -6 + 5x + -3x + 2x = 0 Combine like terms: -1 + -6 = -7 -7 + 5x + -3x + 2x = 0 Combine like terms: 5x + -3x = 2x -7 + 2x + 2x = 0 Combine like terms: 2x + 2x = 4x -7 + 4x = 0 Solving -7 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 0 + 7 4x = 0 + 7 Combine like terms: 0 + 7 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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