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Simplifying 4x + -5 + 7x = 3x + 7 Reorder the terms: -5 + 4x + 7x = 3x + 7 Combine like terms: 4x + 7x = 11x -5 + 11x = 3x + 7 Reorder the terms: -5 + 11x = 7 + 3x Solving -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 + 11x + -3x = 7 + 3x + -3x Combine like terms: 11x + -3x = 8x -5 + 8x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 8x = 7 + 0 -5 + 8x = 7 Add '5' to each side of the equation. -5 + 5 + 8x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 7 + 5 8x = 7 + 5 Combine like terms: 7 + 5 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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