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Simplifying -4x + 12 + 7x + -13 + 3x + -5 + 2x = 0 Reorder the terms: 12 + -13 + -5 + -4x + 7x + 3x + 2x = 0 Combine like terms: 12 + -13 = -1 -1 + -5 + -4x + 7x + 3x + 2x = 0 Combine like terms: -1 + -5 = -6 -6 + -4x + 7x + 3x + 2x = 0 Combine like terms: -4x + 7x = 3x -6 + 3x + 3x + 2x = 0 Combine like terms: 3x + 3x = 6x -6 + 6x + 2x = 0 Combine like terms: 6x + 2x = 8x -6 + 8x = 0 Solving -6 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 0 + 6 8x = 0 + 6 Combine like terms: 0 + 6 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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