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Simplifying 7x + 0.5 + -4x + 0.75 + 8x + -7 + 0.25 = 3x + -7 Reorder the terms: 0.5 + 0.75 + -7 + 0.25 + 7x + -4x + 8x = 3x + -7 Combine like terms: 0.5 + 0.75 = 1.25 1.25 + -7 + 0.25 + 7x + -4x + 8x = 3x + -7 Combine like terms: 1.25 + -7 = -5.75 -5.75 + 0.25 + 7x + -4x + 8x = 3x + -7 Combine like terms: -5.75 + 0.25 = -5.5 -5.5 + 7x + -4x + 8x = 3x + -7 Combine like terms: 7x + -4x = 3x -5.5 + 3x + 8x = 3x + -7 Combine like terms: 3x + 8x = 11x -5.5 + 11x = 3x + -7 Reorder the terms: -5.5 + 11x = -7 + 3x Solving -5.5 + 11x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5.5 + 11x + -3x = -7 + 3x + -3x Combine like terms: 11x + -3x = 8x -5.5 + 8x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -5.5 + 8x = -7 + 0 -5.5 + 8x = -7 Add '5.5' to each side of the equation. -5.5 + 5.5 + 8x = -7 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 8x = -7 + 5.5 8x = -7 + 5.5 Combine like terms: -7 + 5.5 = -1.5 8x = -1.5 Divide each side by '8'. x = -0.1875 Simplifying x = -0.1875
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