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Simplifying 10x + -7 = 12x + 8 Reorder the terms: -7 + 10x = 12x + 8 Reorder the terms: -7 + 10x = 8 + 12x Solving -7 + 10x = 8 + 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. -7 + 10x + -12x = 8 + 12x + -12x Combine like terms: 10x + -12x = -2x -7 + -2x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -2x = 8 + 0 -7 + -2x = 8 Add '7' to each side of the equation. -7 + 7 + -2x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 8 + 7 -2x = 8 + 7 Combine like terms: 8 + 7 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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