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Simplifying 7 + 5x + -13 = -2x + 6x + 2 Reorder the terms: 7 + -13 + 5x = -2x + 6x + 2 Combine like terms: 7 + -13 = -6 -6 + 5x = -2x + 6x + 2 Reorder the terms: -6 + 5x = 2 + -2x + 6x Combine like terms: -2x + 6x = 4x -6 + 5x = 2 + 4x Solving -6 + 5x = 2 + 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. -6 + 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x -6 + 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 1x = 2 + 0 -6 + 1x = 2 Add '6' to each side of the equation. -6 + 6 + 1x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 2 + 6 1x = 2 + 6 Combine like terms: 2 + 6 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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