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Simplifying -7 + 8x + 4 + -2x = -5 + 5x + 1 Reorder the terms: -7 + 4 + 8x + -2x = -5 + 5x + 1 Combine like terms: -7 + 4 = -3 -3 + 8x + -2x = -5 + 5x + 1 Combine like terms: 8x + -2x = 6x -3 + 6x = -5 + 5x + 1 Reorder the terms: -3 + 6x = -5 + 1 + 5x Combine like terms: -5 + 1 = -4 -3 + 6x = -4 + 5x Solving -3 + 6x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 6x + -5x = -4 + 5x + -5x Combine like terms: 6x + -5x = 1x -3 + 1x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 1x = -4 + 0 -3 + 1x = -4 Add '3' to each side of the equation. -3 + 3 + 1x = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -4 + 3 1x = -4 + 3 Combine like terms: -4 + 3 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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