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Simplifying 5x + -3 + -7x + 4 = -4x + 6 + 7x + 5 Reorder the terms: -3 + 4 + 5x + -7x = -4x + 6 + 7x + 5 Combine like terms: -3 + 4 = 1 1 + 5x + -7x = -4x + 6 + 7x + 5 Combine like terms: 5x + -7x = -2x 1 + -2x = -4x + 6 + 7x + 5 Reorder the terms: 1 + -2x = 6 + 5 + -4x + 7x Combine like terms: 6 + 5 = 11 1 + -2x = 11 + -4x + 7x Combine like terms: -4x + 7x = 3x 1 + -2x = 11 + 3x Solving 1 + -2x = 11 + 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. 1 + -2x + -3x = 11 + 3x + -3x Combine like terms: -2x + -3x = -5x 1 + -5x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -5x = 11 + 0 1 + -5x = 11 Add '-1' to each side of the equation. 1 + -1 + -5x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 11 + -1 -5x = 11 + -1 Combine like terms: 11 + -1 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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