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