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