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Simplifying 3x + -8 + -5x + 2 = 5 + -8x + -7 + 2x Reorder the terms: -8 + 2 + 3x + -5x = 5 + -8x + -7 + 2x Combine like terms: -8 + 2 = -6 -6 + 3x + -5x = 5 + -8x + -7 + 2x Combine like terms: 3x + -5x = -2x -6 + -2x = 5 + -8x + -7 + 2x Reorder the terms: -6 + -2x = 5 + -7 + -8x + 2x Combine like terms: 5 + -7 = -2 -6 + -2x = -2 + -8x + 2x Combine like terms: -8x + 2x = -6x -6 + -2x = -2 + -6x Solving -6 + -2x = -2 + -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. -6 + -2x + 6x = -2 + -6x + 6x Combine like terms: -2x + 6x = 4x -6 + 4x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 4x = -2 + 0 -6 + 4x = -2 Add '6' to each side of the equation. -6 + 6 + 4x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -2 + 6 4x = -2 + 6 Combine like terms: -2 + 6 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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