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Simplifying -3 + 2x + -7 + 5x + 1 = 4x + 4 + -3x + -1 Reorder the terms: -3 + -7 + 1 + 2x + 5x = 4x + 4 + -3x + -1 Combine like terms: -3 + -7 = -10 -10 + 1 + 2x + 5x = 4x + 4 + -3x + -1 Combine like terms: -10 + 1 = -9 -9 + 2x + 5x = 4x + 4 + -3x + -1 Combine like terms: 2x + 5x = 7x -9 + 7x = 4x + 4 + -3x + -1 Reorder the terms: -9 + 7x = 4 + -1 + 4x + -3x Combine like terms: 4 + -1 = 3 -9 + 7x = 3 + 4x + -3x Combine like terms: 4x + -3x = 1x -9 + 7x = 3 + 1x Solving -9 + 7x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 7x + -1x = 3 + 1x + -1x Combine like terms: 7x + -1x = 6x -9 + 6x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + 6x = 3 + 0 -9 + 6x = 3 Add '9' to each side of the equation. -9 + 9 + 6x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 3 + 9 6x = 3 + 9 Combine like terms: 3 + 9 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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