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Simplifying 8x + 4 + -7 + -2 = 6x + 7 + 4x Reorder the terms: 4 + -7 + -2 + 8x = 6x + 7 + 4x Combine like terms: 4 + -7 = -3 -3 + -2 + 8x = 6x + 7 + 4x Combine like terms: -3 + -2 = -5 -5 + 8x = 6x + 7 + 4x Reorder the terms: -5 + 8x = 7 + 6x + 4x Combine like terms: 6x + 4x = 10x -5 + 8x = 7 + 10x Solving -5 + 8x = 7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 8x + -10x = 7 + 10x + -10x Combine like terms: 8x + -10x = -2x -5 + -2x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -2x = 7 + 0 -5 + -2x = 7 Add '5' to each side of the equation. -5 + 5 + -2x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 7 + 5 -2x = 7 + 5 Combine like terms: 7 + 5 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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