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Simplifying 4 + -3x + 7x + -8 = 3x + 5 + -1x Reorder the terms: 4 + -8 + -3x + 7x = 3x + 5 + -1x Combine like terms: 4 + -8 = -4 -4 + -3x + 7x = 3x + 5 + -1x Combine like terms: -3x + 7x = 4x -4 + 4x = 3x + 5 + -1x Reorder the terms: -4 + 4x = 5 + 3x + -1x Combine like terms: 3x + -1x = 2x -4 + 4x = 5 + 2x Solving -4 + 4x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 4x + -2x = 5 + 2x + -2x Combine like terms: 4x + -2x = 2x -4 + 2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 2x = 5 + 0 -4 + 2x = 5 Add '4' to each side of the equation. -4 + 4 + 2x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 5 + 4 2x = 5 + 4 Combine like terms: 5 + 4 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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