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Simplifying 1 + -2x + -5 + 2 + -3x = 7 + -6x + 4 Reorder the terms: 1 + -5 + 2 + -2x + -3x = 7 + -6x + 4 Combine like terms: 1 + -5 = -4 -4 + 2 + -2x + -3x = 7 + -6x + 4 Combine like terms: -4 + 2 = -2 -2 + -2x + -3x = 7 + -6x + 4 Combine like terms: -2x + -3x = -5x -2 + -5x = 7 + -6x + 4 Reorder the terms: -2 + -5x = 7 + 4 + -6x Combine like terms: 7 + 4 = 11 -2 + -5x = 11 + -6x Solving -2 + -5x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + -5x + 6x = 11 + -6x + 6x Combine like terms: -5x + 6x = 1x -2 + 1x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 1x = 11 + 0 -2 + 1x = 11 Add '2' to each side of the equation. -2 + 2 + 1x = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 11 + 2 1x = 11 + 2 Combine like terms: 11 + 2 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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