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Simplifying 8x + -5 = 4x + 7 + -2x Reorder the terms: -5 + 8x = 4x + 7 + -2x Reorder the terms: -5 + 8x = 7 + 4x + -2x Combine like terms: 4x + -2x = 2x -5 + 8x = 7 + 2x Solving -5 + 8x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 8x + -2x = 7 + 2x + -2x Combine like terms: 8x + -2x = 6x -5 + 6x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 6x = 7 + 0 -5 + 6x = 7 Add '5' to each side of the equation. -5 + 5 + 6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 7 + 5 6x = 7 + 5 Combine like terms: 7 + 5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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