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Simplifying -2x + 4x + -2 + 8x + -6 = 10x + 3 + -2x + 4x + 7 Reorder the terms: -2 + -6 + -2x + 4x + 8x = 10x + 3 + -2x + 4x + 7 Combine like terms: -2 + -6 = -8 -8 + -2x + 4x + 8x = 10x + 3 + -2x + 4x + 7 Combine like terms: -2x + 4x = 2x -8 + 2x + 8x = 10x + 3 + -2x + 4x + 7 Combine like terms: 2x + 8x = 10x -8 + 10x = 10x + 3 + -2x + 4x + 7 Reorder the terms: -8 + 10x = 3 + 7 + 10x + -2x + 4x Combine like terms: 3 + 7 = 10 -8 + 10x = 10 + 10x + -2x + 4x Combine like terms: 10x + -2x = 8x -8 + 10x = 10 + 8x + 4x Combine like terms: 8x + 4x = 12x -8 + 10x = 10 + 12x Solving -8 + 10x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 10x + -12x = 10 + 12x + -12x Combine like terms: 10x + -12x = -2x -8 + -2x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -2x = 10 + 0 -8 + -2x = 10 Add '8' to each side of the equation. -8 + 8 + -2x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 10 + 8 -2x = 10 + 8 Combine like terms: 10 + 8 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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